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}
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          PAGES = {371-383},
          VOLUME = {26},
}
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          JOURNAL = {SIAM J. Math. Anal.},
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          NOTE = {(MR~80e:33008)},
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          VOLUME = {10},
}
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          VOLUME = {85},
}
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          JOURNAL = {J. Math. Anal. Appl.},
          YEAR = {1983},
          NOTE = {(MR~84k:05003) },
          PAGES = {453-474},
          VOLUME = {93},
}
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          JOURNAL = {Proc. Amer. Math. Soc.},
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          NOTE = {(MR~88c:33013) },
          PAGES = {82-86},
          VOLUME = {100},
}
@article{All4,
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          VOLUME = {157},
          NOTE = {(MR~93e:42036)},
}
@article{AlY,
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          NOTE = {(MR~82d:05022)},
          PAGES = {245-263},
          VOLUME = {77},
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@article{Al-Salam,
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          title = {On a characterization of {M}eixner's polynomials},
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          volume = {17},
          NOTE = {(MR~32\#7804)},
          year = {1966},
}          
@article{AlS1,
          AUTHOR = {Al-Salam, W.A.},
          TITLE = {$q$-{A}ppell polynomials},
          JOURNAL = {Ann. Math. Pura Appl.},
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          NOTE = {(MR~36\#6670)},
          PAGES = {31-46},
          VOLUME = {77},
}
@incollection{AlS2,
          AUTHOR = {Al-Salam, W.},
          TITLE = {Characterization theorems for orthogonal polynomials},
          EDITOR = {P. Nevai},
          BOOKTITLE ={Orthogonal polynomials: Theory and practice},
          PUBLISHER = {Kluwer Academic Publishers},
          ADDRESS = {Dordrecht, Netherlands},
          YEAR = {1990},
          PAGES = {1-24},
}
@article{AlAl,
          AUTHOR = {N.A. Al-Salam and W.A. Al-Salam},
          TITLE = {The centralizer of the {L}aguerre polynomial set},
          JOURNAL = {Rocky Mount. J. Math.},
          YEAR = {1984},
          NOTE = {(MR~85i:05008)},
          PAGES = {713-719},
          VOLUME = {14},
}
@article{AlV1,
          AUTHOR = {Al-Salam, W.A. and A. Verma},
          TITLE = {Generalized {S}heffer polynomials},
          JOURNAL = {Duke Math. J.},
          YEAR = {1970},
          NOTE = {(MR~41\#7175)},
          PAGES = {361-365},
          VOLUME = {37},
}
@article{AlV2,
          AUTHOR = {Al-Salam, W.A. and A. Verma},
          TITLE = {Some sets of orthogonal polynomials},
          JOURNAL = {Rev. T\'{e}cn. Fac. Ingr. Univ. Zulia},
          YEAR = {1986},
          NOTE = {(MR~88e:33009)},
          PAGES = {83-88},
          VOLUME = {9},
}
@article{Ande,
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          JOURNAL = {J. Math. Anal. Appl.},
          YEAR = {1967},
          NOTE = {(MR~35\#5673)},
          PAGES = {475-491},
          VOLUME = {19},
}
@article{Andr,
          AUTHOR = {Andrews, G.E.},
          TITLE = {On the foundations of combinatorial theory {V}, {E}ulerian
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          YEAR = {1971},
          JOURNAL = {Stud. App. Math.},
          NOTE = {(MR~46\#8845)},
          PAGES = {345-375},
          VOLUME = {50},
}
@article{Ang1,
          AUTHOR = {Angelesco, A.},
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                    {O}n a class of
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          JOURNAL = {C.R. Acad. Sci. Paris},
          YEAR = {1923},
          PAGES = {275-278},
          VOLUME = {176},
}

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          JOURNAL = {C.R. Acad. Sci. Paris},
          YEAR = {1925},
          VOLUME = {180},
          PAGES = {489},
}
@article{Ang3,
          AUTHOR = {Angelesco, A.},
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          JOURNAL = {C.R. Acad. Sci. Roum},
          YEAR = {1938},
          NOTE = {(Zbl. 10, 356)},
          PAGES = {199-201},
          VOLUME = {2},
}
@article{Ant86,
          AUTHOR = {D'Antona, O.},
          TITLE = {Combinatorial properties of the factorial ring},
          JOURNAL = {J. Math. Anal. Appl.},
          YEAR = {1986},
          NOTE = {(MR~87i:05037)},
          PAGES = {303-309},
          VOLUME = {117},
}

@incollection {Ant98,
   AUTHOR = {D'Antona, O.M.},
    TITLE = {The would-be method of targeted rings},
BOOKTITLE = {Mathematical essays in honor of Gian-Carlo Rota (Cambridge, MA,
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    PAGES = {157--172},
PUBLISHER = {Birkh\"auser Boston},
  ADDRESS = {Boston, MA},
     YEAR = {1998},
  MRCLASS = {05A19 (05A20 05A40)},
 MRNUMBER = {99f:05008},
   MRREVR = {Y. H. Harris Kwong},
}

@article{App,
          AUTHOR = {{A}ppell, P.},
          TITLE = {Sur une classe de polyn\^{o}mes},
          JOURNAL = {Ann. Sci. Ecole Norm. Sup},
          YEAR = {1880},
          PAGES = {119-144},
          VOLUME = {(2) 9},
}
@book{Ask,
          AUTHOR = {Askey, R.},
          TITLE = {Orthogonal polynomials and special functions},
          SERIES = {Regional Conference Series in Applied Mathematics},
          PUBLISHER = {SIAM},
          YEAR = {1975},
          NOTE = {(esp. lecture 7) },
}
@incollection{Avr,
          AUTHOR = {Avramjonok, A.K.},
          TITLE = {The theory of operators ($n$-dimensional case) in
                   combinatorial analysis ({R}ussian)},
          BOOKTITLE = {Combinatorial analysis and asymptotic analysis no. 2},
          PUBLISHER = {Krasnojarsk Gos. Univ.},
          ADDRESS = {Krasnojarsk},
          YEAR = {1977},
          NOTE = {(MR~80c:05017)},
          PAGES = {103-113},
}

@article{AvrTaq,
        author = {F. Avram and M.S. Taqqu},
        title = {Noncentral limit theorems and {A}ppell polynomials},
        journal = {Ann. Probab.},
        year = {1987},
        pages = {767-775},
        volume = {15},
        note= {(MR~88i:60058}
 }       
@article{BaK1,
          AUTHOR = {Baron, G. and P. Kirschenhofer},
          TITLE = {Operatorenkalk\"{u}l \"{u}ber freien {M}onoiden.
                   {I}. {S}trukturen ({G}erman, {O}perator calculus on free monoids 
                   {I}. {S}tructures)},
          JOURNAL = {Mo\-natsh. Math.},
          YEAR = {1981},
          NOTE = {(MR~82f:05004)},
          PAGES = {89-103},
          VOLUME = {91},
}
@article{BaK2,
          AUTHOR = {Baron, G. and P. Kirschenhofer},
          TITLE = {Operatorenkalk\"{u}l \"{u}ber freien {M}onoiden.
                   {II}. {B}i\-nomial\-sys\-te\-me ({G}erman, {O}perator calculus on 
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          JOURNAL = {Monatsh. Math.},
          YEAR = {1981},
          NOTE = {(MR~83d:05006a)},
          PAGES = {181-196},
          VOLUME = {91},
}
@article{BaK3,
          AUTHOR = {Baron, G. and P. Kirschenhofer},
          TITLE = {Operatorenkalk\"{u}l \"{u}ber freien {M}onoiden.
                   {III}. {L}agrangeinversion und {S}heffersysteme ({G}erman,  
                   {O}perator calculus on free monoids {III}. {L}agrange inversion and 
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          JOURNAL = {Monatsh. Math.},
          YEAR = {1981},
          NOTE = {(MR~83d:05006b)},
          PAGES = {83-103},
          VOLUME = {92},
}
@article{Bar,
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          YEAR = {1985},
          NOTE = {(MR~86j:05023)},
          PAGES = {198-210},
          VOLUME = {108},
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@article{BBN1,
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          JOURNAL = {J. Math. Anal. Appl.},
          YEAR = {1980},
          NOTE = {(MR~82c:05016) },
          PAGES = {598-617},
          VOLUME = {78},
}
@article{BBN2,
          AUTHOR = {Barnabei, M. and A. Brini and G. Nicoletti},
          TITLE = {Recursive matrices and umbral calculus},
          JOURNAL = {J. Algebra},
          YEAR = {1982},
          NOTE = {(MR~84i:05020) },
          PAGES = {546-573},
          VOLUME = {75},
}
@article{BBN3,
          AUTHOR = {Barnabei, M. and A. Brini and G. Nicoletti},
          TITLE = {A general umbral calculus in infinitely many variables},
          JOURNAL = {Adv. Math.},
          YEAR = {1983},
          NOTE = {(MR~85g:05025) },
          PAGES = {49-93},
          VOLUME = {50},
}
@article{BBN4,
          AUTHOR = {Barnabei, M. and A. Brini and G. Nicoletti},
          TITLE = {A general umbral calculus},
          JOURNAL = {Adv. Math., Suppl. Stud},
          YEAR = {1986},
          NOTE = {(Zbl. 612.05009) },
          PAGES = {221-244},
          VOLUME = {10},
}
@article{BBR80a,
          AUTHOR = {Barnabei, M. and A. Brini and G.-C. Rota},
          TITLE = {Sistemi  di  coefficienti sezionali {I}},
          JOURNAL = {Rend. Circ. Mat. Palermo, II. Ser},
          YEAR = {1980},
          NOTE = {(MR~84b:05013a) },
          PAGES = {457-484},
          VOLUME = {29},
}
@article{BBR80b,
          AUTHOR = {Barnabei, M. and A. Brini and G.-C. Rota},
          TITLE = {Section coefficients and section sequences},
          JOURNAL = {Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur.},
          YEAR = {1980},
          NOTE = {(MR~82k:05008) },
          PAGES = {5-12},
          VOLUME = {(8) 68},
}
@article{BBR2,
          AUTHOR = {Barnabei, M. and A. Brini and G.-C. Rota},
          TITLE = {Sistemi di coefficienti sezionali {II}},
          JOURNAL = {Rend. Circ. Mat. Palermo, II. Ser},
          YEAR = {1981},
          NOTE = {(MR~84b:05013b) },
          PAGES = {161-198},
          VOLUME = {30},
}
@article{BBR3,
          AUTHOR = {Barnabei, M. and A. Brini and G.-C. Rota},
          TITLE = {The theory of {M}\"{o}bius functions},
          JOURNAL = {Russ. Math. Surv.},
          YEAR = {1986},
          NOTE = {(MR~87k:05008) },
          PAGES = {135-188},
          VOLUME = {41},
}

@article {BaGM98,
   AUTHOR = {Barnabei, M. and Guerrini, C. and Montefusco, L. B.},
    TITLE = {Some algebraic aspects of signal processing},
     NOTE = {ILAS Symposium on Fast Algorithms for Control, Signals and
             Image Processing (Winnipeg, MB, 1997)},
  JOURNAL = {Linear Algebra Appl.},
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   VOLUME = {284},
     YEAR = {1998},
   NUMBER = {1-3},
    PAGES = {3--17},
     ISSN = {0024-3795},
    CODEN = {LAAPAW},
  MRCLASS = {94A12 (65F30)},
 MRNUMBER = {99k:94004},
}
@article {BaMa98,
   AUTHOR = {Barnabei, M. and Montefusco, L. B.},
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 FJOURNAL = {Linear Algebra and its Applications},
   VOLUME = {274},
     YEAR = {1998},
    PAGES = {367--388},
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    CODEN = {LAAPAW},
  MRCLASS = {15A57},
 MRNUMBER = {99b:15030},
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}



@article{BaH,
          AUTHOR = {Barry, P.D. and D.J. Hurley},
          TITLE = {Generating functions for relatives of classical
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          YEAR = {1988},
          NOTE = {(MR~89f:33025) },
          PAGES = {839-846},
          VOLUME = {103},
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@phdthesis{Bed,
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          TITLE = {Polynomials related to {A}ppell functions of two variables},
          SCHOOL = {Michigan University},
          YEAR = {1958},
}
@article{Bel1,
          AUTHOR = {Bell, E.T.},
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          JOURNAL = {Proc. Nat. Acad. Sci.},
          YEAR = {1928},
          PAGES = {901-904},
          VOLUME = {14},
}
@article{Bel2,
          AUTHOR = {Bell, E.T.},
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          JOURNAL = {Trans. Amer. Math. Soc.},
          YEAR = {1929},
          PAGES = {405-421},
          VOLUME = {31},
}
@article{Bel3,
          AUTHOR = {Bell, E.T.},
          TITLE = {Similar sequences},
          JOURNAL = {Bull. Amer. Math. Soc.},
          YEAR = {1933},
          NOTE = {(Zbl. 8, 211) },
          PAGES = {937-943},
          VOLUME = {39},
}
@article{Bel4,
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          TITLE = {Exponential polynomials},
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          YEAR = {1934},
          NOTE = {(Zbl. 9, 212) },
          PAGES = {258-277},
          VOLUME = {35},
}
@article{Bel5,
          AUTHOR = {E.T. Bell},
          TITLE = {The history of {B}lissard's symbolic calculus, with a
                   sketch of the inventor's life},
          JOURNAL = {Amer. Math. Monthly},
          YEAR = {1938},
          NOTE = {(Zbl. 19, 389) },
          PAGES = {414-421},
          VOLUME = {45},
}
@article{Bel6,
          AUTHOR = {Bell, E.T.},
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          JOURNAL = {Amer. J. Math.},
          YEAR = {1939},
          NOTE = {(Zbl. 20,104) },
          PAGES = {89-101},
          VOLUME = {61},
}
@article{Bel7,
          AUTHOR = {Bell, E.T.},
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          PAGES = {717-724},
          VOLUME = {62},
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@article{BeR,
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          NOTE = {(MR~87c:41023) },
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          VOLUME = {41},
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@article{Berg,
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          JOURNAL = {Math. Nachr.},
          YEAR = {1959},
          NOTE = {(MR~22\#3833) },
          PAGES = {152-158},
          VOLUME = {20},
}
@book{Bergeronetal,
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           TITLE = {Th\'eorie des esp\`eces et combinatoires des structures 
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           YEAR = {1994},
           VOLUME = {19},
}
@article{BGM,
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          JOURNAL = {Adv. Math.},
          YEAR = {1984},
          NOTE = {(MR~86m:05016) },
          PAGES = {36-90},
          VOLUME = {51},
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@incollection{BGLLM,
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                    and M.A. Lohe and J.D. Louck and S.C. Milne},
          TITLE = {Special functions and group theory
                   in theoretical physics},
          BOOKTITLE = {Special functions: group theoretical
                       aspects and applications},
          SERIES = {Math. Appl.},
          PUBLISHER = {Reidel},
          ADDRESS = {Dordrecht},
          YEAR = {1984},
          NOTE = {(MR~86h:22034) },
          PAGES = {129-162},
}
@article{BiL,
          author = {L.C. Biedenharn and J.D. Louck},
          title = {A new class of symmetric polynomials defined in terms of
                   tableaux},
          journal = {Adv. Appl. Math.},
          year = {1989},
          volume = {10},
          pages = {396-438},
          note = {(MR~91c:05189)},
}
@mastersthesis{Bir,
          AUTHOR = {Bird, M.T.},
          TITLE = {title unknown},
          SCHOOL = {Illinois University},
          YEAR = {1934},
          NOTE = {(see Erd\'{e}lyi, Higher transcendental functions, vol.3,
                  sect. 19.3, p. 237) },
}
@article{Boa1,
          AUTHOR = {Boas, R.P.},
          TITLE = {Exponential transforms and {A}ppell polynomials},
          JOURNAL = {Proc. Nat. Acad. Sci. U.S.A.},
          YEAR = {1948},
          NOTE = {(MR~10, 242) },
          PAGES = {481-483},
          VOLUME = {34},
}
@book{Boa2,
          AUTHOR = {Boas, R.P.},
          TITLE = {Entire functions},
          PUBLISHER = {Academic Press},
          YEAR = {1954},
          NOTE = {(esp. pp. 245-247) },
}
@article{BoB1,
          AUTHOR = {Boas, R.P. and R.C. Buck},
          TITLE = {Polynomials defined by generating relations},
          JOURNAL = {Amer. Math. Monthly},
          YEAR = {1956},
          NOTE = {(MR~18, 300) },
          PAGES = {626-632},
          VOLUME = {63},
}
@book{BoB2,
          AUTHOR = {Boas, R.P. and R.C. Buck},
          TITLE = {Polynomial expansions of analytic functions},
          PUBLISHER = {Springer, Berlin},
          EDITION = {second},
          YEAR = {1964},
          NOTE = {(MR~29\#218) },
         
}
@article{Boc,
          AUTHOR = {Bochner, S.},
          TITLE = {Hauptl\"{o}sungen von {D}ifferenzengleichungen},
          JOURNAL = {Acta Math.},
          YEAR = {1928},
          PAGES = {1-21},
          VOLUME = {51},
}
@article{BoRS,
          AUTHOR = {F. Bonetti and G.-C.~Rota and D.~Senato},
          TITLE = {On the foundation of combinatorial theory. {X}. {A} categorical
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          JOURNAL = {Stud. Appl. Math.},
          YEAR = {1992},
          NOTE = {(MR~93h:05167)},
          PAGES = {1-29},
          VOLUME = {86},
}


@article{BotBucLoeb95,
          author = { A. Bottreau and A. Di Bucchianico and D.E. Loeb},
          TITLE = {Implementation of an umbral calculus package},
          journal = {Maple{T}ech},
          volume = {2},
          YEAR = {1995},
          PAGES= {37-41},
}


@article{BotBucLoeb98,
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    TITLE = {Computer algebra and umbral calculus},
  JOURNAL = {Discrete Math.},
 FJOURNAL = {Discrete Mathematics},
   VOLUME = {180},
     YEAR = {1998},
   NUMBER = {1-3},
    PAGES = {65--72},
     ISSN = {0012-365X},
    CODEN = {DSMHA4},
  MRCLASS = {05A40},
 MRNUMBER = {99b:05009},
   MRREVR = {Heinrich Niederhausen},
}



@article{BoM,
          AUTHOR = {Boukhemis, A. and P. Maroni},
          TITLE = {Une caract\'{e}risation des polyn\^{o}mes strictement
                   $1/p$ orthogonaux de type {S}heffer. {E}tude du cas $p=2$},
          JOURNAL = {J. Approx. Theory},
          YEAR = {1988},
          NOTE = {(MR~89h:33013) },
          PAGES = {67-91},
          VOLUME = {54},
}
@book{Bou,
          AUTHOR = {Bourbaki, N.},
          TITLE = {El\'{e}ments de math\'{e}matique. {F}onctions  d'une
                   variable r\'{e}elle},
          PUBLISHER = {Herman},
          ADDRESS = {Paris},
          YEAR = {1976}
}
@article{Bre,
          AUTHOR = {Brenke, W.C.},
          TITLE = {On generating functions of polynomial systems},
          JOURNAL = {Amer. Math. Monthly},
          YEAR = {1945},
          NOTE = {(MR~7, 64) },
          PAGES = {297-301},
          VOLUME = {52},
}
@article{Bri84,
          AUTHOR = {Brini, A.},
          TITLE = {Higher dimensional recursive matrices and diagonal delta
                   sets of series},
          JOURNAL = {J. Comb. Th. Ser. A},
          YEAR = {1984},
          NOTE = {(MR~86d:05013) },
          PAGES = {315-331},
          VOLUME = {36},
}
@article{BriHT,
          AUTHOR = {Brini, A. and Huang, R.Q. and Teclis, A.G.B.},
          TITLE = {The umbral symbolic method for supersymmetric tensors},
          JOURNAL = {Adv. Math.},
          YEAR = {1992},
          NOTE = {(MR~94a:05015)},
          PAGES = {123--193},
          VOLUME = {96},
}
@article{Brj1,
          AUTHOR = {Brown, J.W.},
          TITLE = {On zero type sets of {L}aguerre polynomials},
          JOURNAL = {Duke Math. J.},
          YEAR = {1968},
          NOTE = {(MR~38\#2348) },
          PAGES = {821-823},
          VOLUME = {35},
}
@article{Brj2,
          AUTHOR = {Brown, J.W.},
          TITLE = {New generating functions for classical polynomials},
          JOURNAL = {Proc. Amer. Math. Soc.},
          YEAR = {1969},
          NOTE = {(MR~38\#4734) },
          PAGES = {263-268},
          VOLUME = {21},
}
@article{Brj3,
          AUTHOR = {Brown, J.W.},
          TITLE = {On the {S}heffer {A}-type of certain modified polynomial
                   sets},
          JOURNAL = {Proc. Amer. Math. Soc.},
          YEAR = {1969},
          NOTE = {(MR~40\#420) },
          PAGES = {718-722},
          VOLUME = {23},
}
@article{Brj4,
          AUTHOR = {Brown, J.W.},
          TITLE = {On {A}ngelesco-type polynomials},
          JOURNAL = {Ricerca (Napoli)},
          MONTH = {May/August},
          YEAR = {1973},
          NOTE = {(MR~54\#626) },
          PAGES = {3-7},
          VOLUME = {(3) 24},
}
@article{Brj5,
          AUTHOR = {Brown, J.W.},
          TITLE = {On orthogonal {S}heffer sequences},
          JOURNAL = {Glasnik Mat.},
          YEAR = {1975},
          NOTE = {(30) (MR~52\#5065) },
          PAGES = {63-67},
          VOLUME = {10},
}
@article{Brj6,
          AUTHOR = {Brown, J.W.},
          TITLE = {Generalized {A}ppell connection sequences. {II}},
          JOURNAL = {J. Math. Anal. Appl.},
          YEAR = {1975},
          NOTE = {(MR~51\#10721) },
          PAGES = {458-464},
          VOLUME = {50},
}
@article{Brj7,
          AUTHOR = {Brown, J.W.},
          TITLE = {On multivariable {S}heffer sequences},
          JOURNAL = {J. Math. Anal. Appl.},
          YEAR = {1979},
          NOTE = {(MR~80j:05007) },
          PAGES = {398-410},
          VOLUME = {69},
}
@article{Brj8,
          AUTHOR = {Brown, J.W.},
          TITLE = {{S}teffensen sequences satisfying a certain composition
                   law},
          JOURNAL = {J. Math. Anal. Appl.},
          YEAR = {1981},
          NOTE = {(MR~82h:33014) },
          PAGES = {48-62},
          VOLUME = {81},
}
@article{Brj9,
          AUTHOR = {Brown, J.W.},
          TITLE = {A property of {S}teffensen sequences},
          JOURNAL = {Glasnik Math. Ser. III },
          YEAR = {1989},
          NOTE = {(MR~91a:05009) },
          PAGES = {31-34},
          VOLUME = {24 (44)},
          NUMBER = {1},
}
@article{BrG1,
          AUTHOR = {Brown, J.W. and J.L. Goldberg},
          TITLE = {A note on generalized  {A}ppell polynomials},
          JOURNAL = {Amer. Math. Monthly},
          YEAR = {1968},
          NOTE = {(MR~37\#1662) },
          PAGES = {169-170},
          VOLUME = {75},
}
@article{BrG2,
          AUTHOR = {Brown, J.W. and J.L. Goldberg},
          TITLE = {Generalized  {A}ppell  connection sequences},
          JOURNAL = {J. Math. Anal. Appl.},
          YEAR = {1974},
          NOTE = {(MR~49\#7489) },
          PAGES = {242-248},
          VOLUME = {46},
}
@article{BrK,
          AUTHOR = {Brown, J.W. and Kuczma, M.},
          TITLE = {Self-inverse {S}heffer sequences},
          JOURNAL = {SIAM J. Math. Anal.},
          YEAR = {1976},
          NOTE = {(MR~54\#13177) },
          PAGES = {723-728},
          VOLUME = {7},
}
@article{BrL,
          AUTHOR = {Brown, J.W. and Lachance, M.A.},
          TITLE = {On the orthogonality of self-inverse {S}teffensen sequences},
          JOURNAL = {Glasnik Mat., III. Ser},
          YEAR = {1984},
          NOTE = {(Zbl. 537.33007) },
          PAGES = {65-72},
          VOLUME = {(39) 19},
}
@article{BrjR,
          AUTHOR = {Brown, J.W. and S. Roman},
          TITLE = {Inverse relations for certain {S}heffer sequences},
          JOURNAL = {SIAM J. Math. Anal.},
          YEAR = {1981},
          NOTE = {(MR~82b:33015) },
          PAGES = {186-195},
          VOLUME = {12},
}
@article{Brb,
          AUTHOR = {Brown, R.B.},
          TITLE = {Sequences of functions of binomial type},
          JOURNAL = {Discr. Math.},
          YEAR = {1973},
          NOTE = {(MR~53\#149) },
          PAGES = {313-331},
          VOLUME = {6},
}
@article{Buck1,
          AUTHOR = {Buckholtz, J.D.},
          TITLE = {{A}ppell polynomial expansions and biorthogonal expansions
                   in {B}anach spaces},
          JOURNAL = {Trans. Amer. Math. Soc.},
          YEAR = {1973},
          NOTE = {(MR~48\#11535) },
          PAGES = {245-272},
          VOLUME = {181},
}
@article{Buck2,
          AUTHOR = {Buckholtz, J.D.},
          TITLE = {Isomorphism theorems for infinite order differential
                   operators},
          JOURNAL = {Proc. Amer. Math. Soc.},
          YEAR = {1973},
          NOTE = {(MR~47\#9353) },
          PAGES = {533-538},
          VOLUME = {40},
}
@article{Buck3,
          AUTHOR = {Buckholtz, J.D.},
          TITLE = {{A}ppell polynomials whose generating function is
                   meromorphic on its circle of convergence},
          JOURNAL = {Bull. Amer. Math. Soc.},
          YEAR = {1973},
          NOTE = {(MR47\#3677) },
          PAGES = {469-472},
          VOLUME = {79},
}
@article{Buck4,
          AUTHOR = {Buckholtz, J.D.},
          TITLE = {{A}ppell polynomials and differential equations of
                   infinite order},
          JOURNAL = {Trans. Amer. Math. Soc.},
          YEAR = {1973},
          NOTE = {(MR~50\#4943) },
          PAGES = {463-476},
          VOLUME = {185},
}
@article{Buck5,
          AUTHOR = {Buckholtz, J.D.},
          TITLE = {Series expansions of analytic functions},
          JOURNAL = {J. Math. Anal. Appl.},
          YEAR = {1973},
          NOTE = {(MR~49\#5316) },
          PAGES = {673-684},
          VOLUME = {41},
}
@article{BuK1,
          AUTHOR = {Bukhshtaber, V.M. and A.N. Kholodov},
          TITLE = {Boas-{B}uck structures on sequences of polynomials},
          JOURNAL = {Funct. Anal. Appl.},
          YEAR = {1990},
          NUMBER = {4},
          PAGES = {266-276},
          NOTE = {(MR~91d:26017)},
          VOLUME = {23},
}
@article{BuK2,
           AUTHOR = {Bukhshtaber, V.M. and A.N. Kholodov},
           TITLE = {Groups of formal diffeomorphisms of the superline,
                    generating functions for sequences of polynomials, and
                    functional equations},
           JOURNAL = {Math. USSR Izvestija},
           YEAR = {1990},
           NUMBER = {2},
           VOLUME = {35},
           PAGES = {277-305},
           NOTE = {(MR~91h:58014)},
}
@article{BuK3,
           AUTHOR = {Bukhshtaber, V.M. and A.N. Kholodov},
           TITLE =  {Formal groups, functional equations, and generalized
                     cohomology},
           JOURNAL = {Mat. Sborniki},
           YEAR = {1990},
           VOLUME = {181},
           PAGES = {75-94},
           NOTE = {(MR~91e:55009)},
}
@article{BuP,
          AUTHOR = {Burgmeier, J.W. and R.E. Prather},
          TITLE = {Polynomial calculus with {D}-like operators},
          JOURNAL = {Amer. Math. Monthly},
          YEAR = {1975},
          NOTE = {(MR~52\#3804) },
          PAGES = {730-737},
          VOLUME = {82},
}
@phdthesis{Bus,
          AUTHOR = {Busk, Th.},
          TITLE = {On some general types of polynomials},
          SCHOOL = {Ejnar Munksgaard, Copenhagen},
          YEAR = {1955},
}
@phdthesis{CanPhD,
          AUTHOR = {Canfield, E.R.},
          title = {Asymptotic normality in binomial type enumeration},
          school = {University of California},
          address = {San Diego},
          year = {1975}
          }
          
@article{Can,
          AUTHOR = {Canfield, E.R.},
          TITLE = {Central and local limit theorems for the coefficients of
                   polynomials of binomial type},
          JOURNAL = {J. Comb. Th. Ser. A},
          YEAR = {1977},
          NOTE = {(MR56\#8375) },
          PAGES = {275-290},
          VOLUME = {23},
}
@article{Cari1,
          AUTHOR = {Carlitz, L.},
          TITLE = {Products of {A}ppell polynomials},
          JOURNAL = {Collect. Math. (Univ. de Barcelona)},
          YEAR = {1963},
          NOTE = {(no MR~or Zbl. reference found) },
          PAGES = {245-258},
          VOLUME = {(3) 15},
}
@article{Cari2,
          AUTHOR = {Carlitz, L.},
          TITLE = {Some generating functions for {L}aguerre polynomials},
          JOURNAL = {Duke Math. J.},
          YEAR = {1968},
          NOTE = {(MR~39\#1700) },
          PAGES = {825-827},
          VOLUME = {35},
}
@article{Cars,
          AUTHOR = {Carlson, B.C.},
          TITLE = {Polynomials satisfying a binomial theorem},
          JOURNAL = {J. Math. Anal. Appl.},
          YEAR = {1970},
          NOTE = {(MR~42\#6288) },
          PAGES = {543-558},
          VOLUME = {32},
}
@article{Cer,
          AUTHOR = {Cerasoli, M.},
          TITLE = {Enumerazione binomiale e processi stocastici di {P}oisson
                   composti},
          JOURNAL = {Bollettino U.M.I.},
          YEAR = {1979},
          NOTE = {(MR~80k:05008) },
          VOLUME = {(5) 16-A},
          PAGES = {310-315},
}

@article{Cer95,
          AUTHOR = {Cerasoli, M.},
          TITLE = {Integer sequences and Umbral Calculus},
          JOURNAL = {Rend. Accad. Naz. Sci. XL Mem. Mat. Appl. },
          YEAR = {1995},
          NOTE = {(MR~97d:05023) },
          VOLUME = {19},
          PAGES = {101-110},
}

@article{CNP1,
          AUTHOR = {Cerlienco, L. and G. Nicoletti and F. Piras},
          TITLE = {Coalgebra and umbral calculus},
          JOURNAL = {Rend. Sem. Mat. Fis. Milano},
          YEAR = {1984},
          NOTE = {(MR~88k:05019) },
          PAGES = {79-100},
          VOLUME = {54},
}
@article{CNP2,
          AUTHOR = {Cerlienco, L. and G. Nicoletti and F. Piras},
          TITLE = {Polynomial sequences associated with a class of
                   incidence coalgebras},
          JOURNAL = {Ann. Discr. Math.},
          YEAR = {1986},
          NOTE = {(MR~88b:05018) },
          PAGES = {159-169},
          VOLUME = {30},
}
@article{CeP1,
          AUTHOR = {Cerlienco, L. and F. Piras},
          TITLE = {Coalgebraic aspects of the umbral calculus},
          JOURNAL = {Rend. Sem. Mat. Brescia},
          YEAR = {1984},
          NOTE = {(MR~86a:05010) },
          PAGES = {205-217},
          VOLUME = {7},
}
@article{CeP2,
          AUTHOR = {Cerlienco, L. and F. Piras},
          TITLE = {{G}-{R}-sequences and incidence coalgebras
                   of posets of full binomial type},
          JOURNAL = {J. Math. Anal. Appl.},
          YEAR = {1986},
          NOTE = {(MR~87k:05018) },
          PAGES = {46-56},
          VOLUME = {115},
}
@article{Ces,
          AUTHOR = {Ceschino, F.},
          TITLE = {Sur une propri\'{e}t\'{e} de certains polyn\^{o}mes d'{A}ppell},
          JOURNAL = {Ann. Soc. Sci. Bruxelles},
          YEAR = {1950},
          NOTE = {(MR~12, 607) },
          PAGES = {154-155},
          VOLUME = {(1) 64},
}
@article{Cha,
          AUTHOR = {Chak, A.M.},
          TITLE = {An extension of a class of polynomials {I}},
          JOURNAL = {Riv. Mat. Univ. Parma},
          YEAR = {1971},
          NOTE = {(MR~50\#13670) },
          PAGES = {47-55},
          VOLUME = {(2) 12},
}

@article{ChAg,
          AUTHOR = {Chak, A.M. and A.K. Agarwal},
          TITLE = {An extension of a class of polynomials {II}},
          JOURNAL = {SIAM J.Math. Anal.},
          YEAR = {1971},
          NOTE = {(MR~50\#13671) },
          PAGES = {352-355},
          VOLUME = {2},
}

@incollection {Chan98,
   AUTHOR = {Chan, W.},
    TITLE = {Classification of trivectors in $6$-{D} space},
BOOKTITLE = {Mathematical essays in honor of Gian-Carlo Rota (Cambridge, MA,
             1996)},
    PAGES = {63--110},
PUBLISHER = {Birkh\"auser Boston},
  ADDRESS = {Boston, MA},
     YEAR = {1998},
  MRCLASS = {15A72 (05A40 05E10)},
 MRNUMBER = {99j:15038},
   MRREVR = {I. Strazdi{\lfhook{n}}{\v{s}}},
}


@article{ChK,
          AUTHOR = {Charalambides, Ch. A. and A. Kyriakoussis},
          TITLE = {An asymptotic formula for the exponential polynomials
                   and a central limit  theorem  for  their coefficients},
          JOURNAL = {Discr. Math.},
          YEAR = {1985},
          NOTE = {(MR~86f:05009) },
          PAGES = {259-270},
          VOLUME = {54},
}
@article{ChSi,
          AUTHOR = {Charalambides, Ch. and J. Singh},
          TITLE = {A review of the {S}tirling numbers, their generalizations
                   and statistical applications},
          JOURNAL= {Comm. Stat. Th. Methods},
          YEAR = {1988},
          NOTE = {(MR~89d:62017) },
          PAGES = {2533-2595},
          VOLUME = {(8) 17},
}
@phdthesis{Chethesis,
          author = {Chen, W.Y.C.},
          title = {On the combinatorics of plethysm},
          school = {MIT},
          year = {1991}
}
@inproceedings{Che91,
          AUTHOR = {Chen, W.Y.C.},
          TITLE = {Context-free grammars, differential operators and formal
                   power series},
          BOOKTITLE= {S\'{e}ries formelles et combinatoire alg\'{e}brique},
          ORGANIZATION = {LaBRI, Universit\'e de Bordeaux I, France},
          EDITOR= {M. M. Delest
		  , G. Jacob and P. Leroux},
          YEAR = {1991},
          PAGES= {145-159},
}
@article{Che93a,
          AUTHOR = {Chen, W.Y.C.},
          TITLE = {The theory of compositionals},
          JOURNAL= {Discrete Math.},
          YEAR = {1993},
          NOTE = {(MR~95i:60131) },
          PAGES = {59--87},
          VOLUME = {122},
}
@article{Che93b,
          AUTHOR = {Chen, W.Y.C.},
          TITLE = {Compositional calculus},
          JOURNAL = {J. Combin. Theory Ser. A},
          YEAR = {1993},
          NOTE = {(MR~95g:05014)},
          PAGES = {149-188},
          VOLUME = {64},
}

@incollection {ChenLiu,
   AUTHOR = {Chen, William Y. C. and Liu, Zhi-Guo},
    TITLE = {Parameter augmentation for basic hypergeometric series. {I}},
BOOKTITLE = {Mathematical essays in honor of Gian-Carlo Rota (Cambridge, MA,
             1996)},
    PAGES = {111--129},
PUBLISHER = {Birkh\"auser Boston},
  ADDRESS = {Boston, MA},
     YEAR = {1998},
  MRCLASS = {33D20 (05A19 05A40 33D60)},
 MRNUMBER = {99f:33020},
   MRREVR = {George E. Andrews},
}

@article{Chi1,
          AUTHOR = {Chihara, T.S.},
          TITLE = {Orthogonal polynomials with {B}renke type generating
                   functions},
          JOURNAL = {Duke Math. J.},
          YEAR = {1968},
          NOTE = {(MR~37\#3072) },
          PAGES = {505-517},
          VOLUME = {35},
}
@article{Chi2,
          AUTHOR = {Chihara, T.S.},
          TITLE = {Orthogonality relations for a class of {B}renke
                   polynomials},
          JOURNAL = {Duke Math. J.},
          YEAR = {1971},
          NOTE = {(MR~43\#6476) },
          PAGES = {599-603},
          VOLUME = {38},
}
@book{Chi3,
          AUTHOR = {Chihara, T.S.},
          TITLE = {An introduction to orthogonal polynomials},
          PUBLISHER = {Gordon and Breach, New York},
          YEAR = {1978},
}

@article{Chikuse,
          author = {Y. Chikuse},
          title = {Multivariate {M}eixner classes of invariant distributions},
          journal = { Lin. Alg. Appl. },
          volume = {82},
          year = {1986}
}          

@book{Chol88,
          AUTHOR = {Cholewinski, F.M.},
          TITLE = {The Finite Calculus Associated  with {B}essel Functions},
          SERIES = {Contemporary Mathematics},
          PUBLISHER= {Amer. Math. Soc.},
          YEAR = {1988},
          NOTE = {(MR~89m:05013) },
          VOLUME = {75},
}

@article {Chol94,
   AUTHOR = {Cholewinski, Frank M.},
    TITLE = {Hypergeometric commutators associated with the {E}uler
             operator},
  JOURNAL = {Internat. J. Math. Statist. Sci.},
 FJOURNAL = {International Journal of Mathematical and Statistical Sciences},
   VOLUME = {3},
     YEAR = {1994},
   NUMBER = {1},
    PAGES = {55--78 (1995)},
     ISSN = {1055-7490},
  MRCLASS = {33C05 (05A40 47B99 47E05 81S05)},
 MRNUMBER = {97h:33007},
}

@article{ChoK,
          AUTHOR = {Choczewski, B. and M. Kuczma},
          TITLE = {On a system of functional equations},
          JOURNAL = {Aeq. Math.},
          YEAR = {1985},
          NOTE = {(MR~86k:39009)},
          PAGES = {262-268},
          VOLUME = {28},
}
@article{ChSh,
          AUTHOR = {Chak, A.M. and H.M. Shristava},
          TITLE = {An extension of a class of polynomials {III}},
          JOURNAL = {Riv. Mat. Univ. Parma},
          YEAR = {1973},
          NOTE = {(3) (MR~52\#14417) },
          PAGES = {11-18},
          VOLUME = {2},
}
@article{Cig1,
          AUTHOR = {Cigler, J.},
          TITLE = {Some remarks on {R}ota's umbral calculus},
          JOURNAL = {Indag. Math.},
          YEAR = {1978},
          NOTE = {(MR~57\#12939) },
          PAGES = {27-42},
          VOLUME = {40},
}
@article{Cig2,
          AUTHOR = {Cigler, J.},
          TITLE = {A note on a paper of {L}.~{C}arlitz},
          JOURNAL = {SIAM J. Math. Anal.},
          YEAR = {1979},
          NOTE = {(MR~80b:05004) },
          PAGES = {78-79},
          VOLUME = {10},
}
@article{Cig3,
          AUTHOR = {Cigler, J.},
          TITLE = {Operatormethoden f\"{u}r $q$-{I}dentit\"{a}ten},
          JOURNAL = {Monatsh. Math.},
          YEAR = {1979},
          NOTE = {(MR~81h:05009) },
          PAGES = {87-105},
          VOLUME = {88},
}
@article{Cig4,
          AUTHOR = {Cigler, J.},
          TITLE = {Operatormethoden f\"{u}r $q$-{I}dentit\"{a}ten {II}:
                   $q$-{L}aguerre Polynome},
          JOURNAL = {Monatsh. Math.},
          YEAR = {1981},
          NOTE = {(MR~83g:05007) },
          PAGES = {105-117},
          VOLUME = {91},
}
@article{Cig5,
          AUTHOR = {Cigler, J.},
          TITLE = {Operatormethoden f\"{u}r $q$-{I}dentit\"{a}ten {III}:
                   {U}mbrale Inversion und die {L}agrangesche Formel},
          JOURNAL = {Arch. Math.},
          YEAR = {1980},
          NOTE = {(MR~83g:05008) },
          PAGES = {533-543},
          VOLUME = {35},
}

@article {CorMerSpr,
   AUTHOR = {Corsani, C. and Merlini, D. and Sprugnoli, R.},
    TITLE = {Left-inversion of combinatorial sums},
  JOURNAL = {Discrete Math.},
 FJOURNAL = {Discrete Mathematics},
   VOLUME = {180},
     YEAR = {1998},
   NUMBER = {1-3},
    PAGES = {107--122},
     ISSN = {0012-365X},
    CODEN = {DSMHA4},
  MRCLASS = {05A19 (05A15 05A40)},
 MRNUMBER = {99c:05017},
   MRREVR = {Alessandro Di Bucchianico},
}


@article{CrR,
          AUTHOR = {Crapo, H.H. and G.-C. Rota},
          TITLE = {On the foundations of combinatorial theory {II}.
                   {C}ombinatorial geometries},
          JOURNAL = {Stud. Appl. Math.},
          YEAR = {1970},
          NOTE = {(MR~44\#3882) },
          PAGES = {109-133},
          VOLUME = {49},
}
@article{Cur,
          AUTHOR = {Curry, H.B.},
          TITLE = {Abstract differential operators and interpolation
                   formulas},
          JOURNAL = {Portugal. Math.},
          YEAR = {1951},
          NOTE = {(MR~13, 632) },
          PAGES = {135-162},
          VOLUME = {10},
}
@article{DAN,
          AUTHOR = {Damiani, E. 
		   and O.~D'Antona and G.~Naldi},
          TITLE = {On the connection constants},
          JOURNAL = {Stud. Appl. Math.},
          YEAR = {1991},
          NOTE = {(MR~92i:05024) },
          PAGES = {289-302},
          VOLUME = {85},
}
@book{Dav,
          AUTHOR = {Davis, H.T.},
          TITLE = {The theory of linear operators},
          PUBLISHER = {Principia  Press, Bloomington, Indiana},
          YEAR = {1936},
          NOTE = {(bibliography on {A}ppell polynomials on p. 25 etc.) },
}
@article{Del,
          AUTHOR= {Delsarte, J.},
          TITLE= {Sur une extension de la formule de {T}aylor},
          JOURNAL= {J. Math. Pur. Appl.},
          YEAR= {1936},
          VOLUME= {17},
          PAGES= {213-231},
}


@article{Buc2,
          AUTHOR = {{Di Bucchianico}, A.},
          TITLE = {Banach algebras, logarithms, and polynomials of
                   convolution type},
          JOURNAL= {J. Math. Anal. Appl.},
          YEAR = {1991},
          PAGES = {253-273},
          VOLUME = {156},
          NOTE = {(MR~92d:46123)},
}
@phdthesis{Buc3,
          AUTHOR = {{Di Bucchianico}, A.},
          TITLE = {Polynomials of convolution type},
          SCHOOL = {University of Groningen, The Netherlands},
          YEAR ={1991},
}
@article{Buc4,
          AUTHOR = {{Di Bucchianico}, A.},
          TITLE = {Representations of {S}heffer polynomials},
          JOURNAL= {Stud. Appl. Math.},
          YEAR = {1994},
          PAGES = {1-14},
          VOLUME = {93},
}

@book{Buc97,
          author = {{Di Bucchianico}, A.},
          title = {Probabilistic and analytical aspects of the umbral
                  calculus},
          year = {1997},
          publisher = {CWI},
          series = {CWI Tract},
          volume = {119},
          address = {Amsterdam},        
}


@article{BucLoeb1,
          AUTHOR = {{Di Bucchianico}, A. and Loeb, D.E.},
          TITLE = {A simpler characterization of
		  {S}heffer polynomials},
          JOURNAL= {Stud. Appl. Math.},
          YEAR = {1994},
          PAGES = {1-15},
          VOLUME = {92},
}
@article {BucLoebdynsur,
   AUTHOR = {Di Bucchianico, A. and Loeb, D.},
    TITLE = {A selected survey of umbral calculus},
  JOURNAL = {Electron. J. Combin.},
 FJOURNAL = {Electronic Journal of Combinatorics},
   VOLUME = {2},
     YEAR = {1995},
    PAGES = {Dynamic Survey 3, 28 pp. (electronic)},
     ISSN = {1077-8926},
  MRCLASS = {05A40},
 MRNUMBER = {99j:05017},
   MRREVR = {Marko Razpet},
}

@article{BucLoeb2,
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          JOURNAL= {Stud. Appl. Math.},
          YEAR = {1996},
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}
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}

@article{BucLoeb4,
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          VOLUME = {4},
}
@inproceedings{BucLoeb5,
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          booktitle = {Mathematical essays in honor of {Gian-Carlo Rota}},
          editor = {B. Sagan and R.P. Stanley},
          title = {Natural exponential families and umbral calculus},
          pages = {43-60},
          publisher = {Birkh\"auser},
          year = {1998},
          }

@inproceedings{BucLoebRota,
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          booktitle = {Mathematical essays in honor of {Gian-Carlo Rota}},
          editor = {B. Sagan and R.P. Stanley},
          title = {Umbral calculus in {H}ilbert space},
          pages = {1-26},
          publisher = {Birkh\"auser},
          year = {1998},
          }          



@article{DiCrRota,
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          VOLUME = {43},
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          VOLUME = {1},
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          NOTE = {(MR~89h\#05010)},
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          VOLUME = {51},
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@inproceedings{DRS1,
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          YEAR = {1972},
          NOTE = {(MR~58\#16376) },
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}
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          NOTE = {(MR~58\#16736)},
          VOLUME = {53},
}
@article{EhrMen94a,
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          JOURNAL = {Adv. Math. },
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          NOTE = {(MR~95j:05019) },
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@book{Erd,
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          NOTE = {sect. 19.3 (MR~(53\#7796)},
}
@book{Fei1,
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          NOTE = {(MR~83d:39006) },
          VOLUME = {12},
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@book{FeiSch1,
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           year = {1993}
}
@book{FeiSch2,
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           year = {1994}
}
@book{FeiSch3,
           author = {Feinsilver, P. and Schott, R.},
           title = {Algebraic Structures and Operator Calculus. Volume {III}: {R}epresentations of {L}ie Groups},
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           year = {1996}
}

@article{FiI,
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          NOTE = {(MR~51\#8860) },
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@article{FiW,
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          JOURNAL = {Lin. and Multilin. Alg.},
          YEAR = {1973},
          NOTE = {(MR~47\#9321b) },
          PAGES = {67-80},
          VOLUME = {1},
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          NOTE = {(MR~91c:05012) },
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          VOLUME = {53},
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@article{FlS93,
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           distributions and exponential tails},                   
          JOURNAL = {Discr. Math.},
          YEAR = {1993},
          NOTE = {(MR~94e:05021) },
          PAGES = {159-180},
          VOLUME = {114},
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@article{Fre1,
          AUTHOR = {Freeman, J.M.},
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          JOURNAL = {Stud. Appl. Math.},
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          NOTE = {(MR47\#2218) },
          PAGES = {73-84},
          VOLUME = {51},
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@article{Fre2,
          AUTHOR = {Freeman, J.M.},
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          JOURNAL = {Congr. Numer.},
          YEAR = {1978},
          NOTE = {(MR~80c:05019) },
          PAGES = {301-305},
          VOLUME = {21},
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@article{Fre80,
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                   operators},
          JOURNAL = {Congr. Numer.},
          YEAR = {1980},
          NOTE = {(MR~82h:05004) },
          PAGES = {389-398},
          VOLUME = {28},
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@article{Fre3,
          AUTHOR = {Freeman, J.M.},
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          JOURNAL = {Congr. Numer.},
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          NOTE = {(MR~87i:33025) },
          PAGES = {125-132},
          VOLUME = {48},
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@article{Fre4,
          AUTHOR = {Freeman, J.M.},
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          JOURNAL = {Stud. Appl. Math.},
          YEAR = {1987},
          NOTE = {(MR~90g:42046) },
          PAGES = {119-127},
          VOLUME = {77},
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@article{Gar,
          AUTHOR = {Garsia, A.M.},
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          JOURNAL = {Lin. and Multilin. Alg.},
          YEAR = {1973},
          NOTE = {(MR47\#9321a) },
          PAGES = {47-65},
          VOLUME = {1},
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@article{GaJ1,
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          NOTE = {(MR~56\#2838) },
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          VOLUME = {64},
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@article{GaJ2,
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          NOTE = {(MR~58\#10484) },
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          VOLUME = {6},
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@article{GaJ3,
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          NOTE = {(MR~82e:05008) },
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@article{Gir2,
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@incollection{GiS,
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          NOTE = {(MR~32\#4297) },
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@inproceedings{Gra2,
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          NOTE = {(MR~91j:46097) },
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          VOLUME = {86},
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@article{Gzy2,
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          YEAR = {1988},
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          VOLUME = {129},
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@book{Gzy90,
author = {Gzyl, H.},
title = {Hamilton Flows and Evolution Semigroups},
publisher = {Pitman},
year = {1990},
series = {Research Notes in Mathematics},
volume = {239}
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          YEAR = {1881},
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          VOLUME = {93},
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@article{Hal2,
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          NOTE = {(2nd ser.) },
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          VOLUME = {14},
          NOTE = {(MR~92g:49031) },
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@inproceedings{Ham,
           author = { {Van Hamme}, L.},
           title = {Continuous operators which commute with translations, on the space
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           year = {1992},
           note = {(MR~93b:47144)},
           pages = {75--88},
           organisation = {Marcel Dekker},
}

@article{HiRa,
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          JOURNAL = {Adv. Math.},
          YEAR = {1992},
          NOTE = {(MR~92m:05012)},
          PAGES = {75--135},
          VOLUME = {91},
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@article{Hof1,
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          YEAR = {1979},
          NOTE = {(MR~81e:05019) },
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          VOLUME = {25},
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@phdthesis{Hof2,
          AUTHOR = {Hofbauer, J.},
          TITLE = {Beitr\"{a}ge zu  Rota's  Theorie  der
                   Folgen  von Binomialtyp},
          SCHOOL= {Universit\"{a}t Wien, Austria},
          YEAR = {1979},
          NOTE = {(Zbl. 476.13014) },
}
@article{Hof3,
          AUTHOR = {Hofbauer, J.},
          TITLE = {Beitr\"{a}ge zu  {R}ota's  {T}heorie  der  {F}olgen  von
                   {B}inomialtyp},
          JOURNAL = {Sitzungber. Abt. II \"{O}sterr. Akad. Wiss. Math. Naturw. 
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          YEAR = {1978},
          NOTE = {(MR~82j:05013) },
          PAGES = {437-489},
          VOLUME = {187},
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@article{Hof4,
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          TITLE = {A representation of {S}heffer polynomials in terms of a
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          JOURNAL = {Aequationes Math.},
          YEAR = {1981},
          NOTE = {(MR~84k:33014) },
          PAGES = {156-168},
          VOLUME = {23},
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@article{Huf,
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          JOURNAL = {Duke Math. J.},
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          NOTE = {(MR~9, 282) },
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          VOLUME = {14},
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@article{HuR,
          AUTHOR = {Huff, W.N. and E.D. Rainville},
          TITLE = {On the {S}heffer {A}-type of polynomials generated by
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          YEAR = {1952},
          NOTE = {(MR~13, 841) },
          PAGES = {296-299},
          VOLUME = {3},
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@article{Hum,
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          JOURNAL = {C.R. Acad. Sci. Paris},
          YEAR = {1924},
          PAGES = {366-367},
          VOLUME = {178},
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@inproceedings{IhI1,
          AUTHOR = {Ihrig, E.C. and M.E.H. Ismail},
          TITLE = {On an umbral calculus},
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                       Theory, Computing, Boca Raton},
          YEAR = {1979},
          NOTE = {(MR~82b:13010) },
          PAGES = {523-528},
}
@article{IhI2,
          AUTHOR = {Ihrig, E.C. and M.E.H. Ismail},
          TITLE = {A $q$-umbral calculus},
          JOURNAL = {J. Math. Anal. Appl.},
          YEAR = {1981},
          NOTE = {(MR~83a:05011) },
          PAGES = {178-207},
          VOLUME = {84},
}
@mastersthesis{Ism1,
          AUTHOR = {Ismail, M.E.H.},
          TITLE = {Classification of polynomials sets},
          SCHOOL = {University of Alberta},
          YEAR = {1969},
}
@article{Ism2,
          AUTHOR = {Ismail, M.E.H.},
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          JOURNAL = {SIAM J. Math. Anal.},
          YEAR = {1974},
          NOTE = {(MR~49\#3248) },
          PAGES = {202-208},
          VOLUME = {5},
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@article{Ism3,
          AUTHOR = {Ismail, M.E.H.},
          TITLE = {Polynomials of binomial type and approximation theory},
          JOURNAL = {J. Approx. Th.},
          YEAR = {1978},
          NOTE = {(MR~81a:41033) },
          PAGES = {177-186},
          VOLUME = {23},
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@article{Ism4,
          AUTHOR = {Ismail, M.E.H.},
          TITLE = {On solving certain differential equations with variable
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          JOURNAL = {Aeq. Math.},
          YEAR = {1978},
          NOTE = {(MR~58\#17253) },
          PAGES = {148-153},
          VOLUME = {17},
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@article{Ism5,
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          NOTE = {(MR~55\#8440) },
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          TITLE = {Polynomials of binomial type and the {L}agrange inversion
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          SCHOOL = {University of California, La Jolla},
          YEAR = {1977},
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          JOURNAL = {J. Linear and Multilinear Algebra},
          YEAR = {1978},
          NOTE = {(MR~58\#10485) },
          PAGES = {111-121},
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          VOLUME = {26},
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          NOTE = {(MR~83h:05004a) },
          PAGES = {364-377},
          VOLUME = {81},
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@article{Jon5,
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          NOTE = {(MR~82e:05015) },
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          NOTE = {(MR~81c:05002) },
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          VOLUME = {61},
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@article{JRS,
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          YEAR = {1981},
          NOTE = {(MR~84i:05006) },
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          VOLUME = {37},
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          NOTE = {(MR~84d:05025) },
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@phdthesis{Loe2,
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   title = {The iterated logarithmic algebra},	
   year = {1989}
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@article{Loe3,
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@incollection {Men98,
   AUTHOR = {M{\'e}ndez, M.A.},
    TITLE = {Umbral shifts and symmetric functions of {S}chur type},
BOOKTITLE = {Mathematical essays in honor of Gian-Carlo Rota (Cambridge, MA,
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PUBLISHER = {Birkh\"auser Boston},
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@article{Mol,
   author = {G. Moldovan},
   journal = {Studia Univ. Babe\c{s}-Bolyai Math.},
   note = {(MR~83i:41029)},
   pages = {9-14},
   title = {Algebraic properties of a class of positive convolution operators},
   volume = {26},
   year = {1981}
}

@article{MoF,
   author = {Morales, J. and A. Flores-Riveros},
   journal = {J. Math. Phys.},
   note = {(MR~90c:81074)},
   pages = {393-397},
   title = {The generalization of the binomial theorem},
   volume = {30},
   year = {1989}
}

@article {Morikawa,
   AUTHOR = {Morikawa, Hisasi},
    TITLE = {On differential polynomials. {I}, {I}{I}},
  JOURNAL = {Nagoya Math. J.},
 FJOURNAL = {Nagoya Mathematical Journal},
   VOLUME = {148},
     YEAR = {1997},
    PAGES = {39--72, 73--112},
     ISSN = {0027-7630},
    CODEN = {NGMJA2},
  MRCLASS = {05A40 (12H05)},
 MRNUMBER = {99m:05013},
}

@article{Mor1,
   author = {Morris, R.A.},
   journal = {Stud. Appl. Math.},
   note = {(MR~82g:05005)},
   pages = {85-92},
   title = {Frobenius endomorphisms in the umbral calculus},
   volume = {62},
   year = {1980}
}

@book{Mor2,
   editor = {Morris, R.A.},
   note = {(MR~83a:05001)},
   publisher = {Amer. Math. Soc.},
   series = {Contemporary Mathematics},
   title = {Umbral calculus and {H}opf algebras},
   volume = {6},
   year = {1982}
}

@inproceedings{Mue,
   author = {M\"{u}ller, A.},
   booktitle = {Dynamic properties  of nonlinear difference equations and 
                their applications in economics},
   note = {(MR~87a:05024)},
   organization = {Gesellsch. Math. Datenverarbeitung Bonn, St. Augustin},
   pages = {85-97},
   title = {Operatorgleichungen},
   year = {1985}
}

@incollection{MuR,
   author = {Mullin, R. and G.-C. {R}ota},
   booktitle = {Graph theory and its applications},
   editor = {B. Harris},
   note = {(MR~43\#65)},
   pages = {167-213},
   publisher = {Academic Press},
   title = {On the foundations of combinatorial theory {III}. {T}heory of 
Binomial Enumeration},
   year = {1970}
}

@incollection{NiS,
   author = {Nichols, W. and M.E. Sweedler},
   booktitle = {Umbral calculus and {H}opf algebras},
   note = {(MR~83g:16019)},
   pages = {49-84},
   publisher = {Amer. Math. Soc., Providence},
   series = {Contemporary Mathematics},
   title = {{H}opf algebras and combinatorics},
   volume = {6},
   year = {1982}
}

@techreport{Nie1,
   author = {Niederhausen, H.},
   institution = {Technical Univ. Graz, Austria},
   number = {99},
   title = {Methoden zur {B}erechnung exakter {V}erteilungen vom 
{K}olmogorov-{S}mirnov {T}yp},
   year = {1978}
}

@article{Nie2,
   author = {Niederhausen, H.},
   journal = {Congr. Num.},
   note = {(MR~82d:05015)},
   pages = {281-294},
volume = {26},
   title = {{S}heffer polynomials in path enumeration},
      year = {1980}
}

@article{Nie3,
   author = {Niederhausen, H.},
   journal = {Congr. Num.},
   note = {(MR~82m:05012)},
   pages = {689-698},
volume = {29},
   title = {{S}heffer polynomials and linear recurrences},
      year = {1980}
}

@article{Nie4,
   author = {Niederhausen, H.},
   journal = {Eur. J. Combin.},
   note = {(MR~83c:05009)},
   pages = {353-368},
   title = {Linear recurrences under side conditions},
   volume = {1},
   year = {1980}
}

@article{Nie5,
   author = {Niederhausen,  H.},
   journal = {Ann. Statist.},
   note = {(MR~84b:62067)},
   pages = {923-944},
   title = {{S}heffer polynomials for computing exact {K}olmogorov-{S}mirnov and {R}\'{e}nyi type distributions},
   volume = {9},
   year = {1981}
}

@article{Nie6,
   author = {Niederhausen, H.},
   journal = {Congr. Num.},
   note = {(MR~85b:05014)},
   pages = {161-173},
   title = {How many paths cross at least $l$ given lattice points},
   volume = {36},
   year = {1982}
}

@article{Nie7,
   author = {Niederhausen, H.},
   journal = {Ann. Statist. },
   note = {(MR~84h:62077)},
   pages = {600-606},
   title = {{S}heffer polynomials for computing {T}ak\'{a}cs's  
            goodness-of-fit distributions},
   volume = {11},
   year = {1983}
}

@article{Nie8,
   author = {Niederhausen, H.},
   journal = {Congr. Num.},
   note = {(MR~85f:05012)},
   pages = {257-282},
   title = {{S}tirling number representations},
   volume = {40},
   year = {1983}
}

@article{Nie9,
   author = {Niederhausen, H.},
   journal = {Discr. Math.},
   note = {(MR~85h:05015)},
   pages = {271-284},
   title = {Sequences of binomial type  with  polynomial coefficients},
   volume = {50},
   year = {1984}
}

@article{Nie10,
   author = {Niederhausen, H.},
   journal = {Congr. Num.},
   note = {(MR~87j:11018)},
   pages = {87-98},
   title = {A formula for explicit solutions of certain linear 
            recursions on polynomial  sequences},
   volume = {49},
   year = {1985}
}

@article{Nie11,
   author = {Niederhausen, H.},
   journal = {J. Statist. Planning \& Inference},
   note = {(MR~87j:05015)},
   pages = {95-114},
   title = {The enumeration of restricted random walks by {S}heffer polynomials with 
            applications to statistics},
   volume = {14},
   year = {1986}
}

@article{Nie12,
   author = {Niederhausen, H.},
   journal = {Congr. Num.},
   note = {(MR~88e:05012)},
   pages = {55-62},
   title = {{L}agrange inversion via transforms},
   volume = {54},
   year = {1986}
}

@article{Nie13,
   author = {Niederhausen, H.},
   journal = {Europ. J. Combinatorics},
   note = {(MR~92e:05013)},
   pages = {249-258},
   title = {Polynomials of binomial type from truncated delta series},
   volume = {12},
   year = {1991}
}

@article{Nie14,
   author = {Niederhausen, H.},
   journal = {Discr. Math.},
   note = {(MR~92j:05013)},
   pages = {53-62},
   title = {Factorials and {S}tirling numbers in the algebra of formal 
            {L}aurent series},
   volume = {90},
   year = {1991}
}

@article{Nie15,
   author = {Niederhausen, H.},
   journal = {Discr. Math.},
   note = {(MR~92m:05013)},
   pages = {23-37},
   title = {Initial value problems in the logarithmic algebra},
   volume = {94},
   year = {1991}
}

@article{Nie92a,
   author = {Niederhausen, H.},
    journal = {Discr. Math.},
   note = {(MR~93d:05008)},
   pages = {99-110},
   title = {Fast {L}agrange inversion, with an application to factorial numbers},
   volume = {104},
   year = {1992}
}

@article{Nie94a,
   author = {Niederhausen, H.},
   journal = {Discr. Math.},
   note = {(MR~95k:05014)},
   pages = {197-213},
   title = {Factorials and {S}tirling numbers in the algebra of formal 
            {L}aurent series.{II}. $z^a-z^b=t$},
   volume = {132},
   year = {1994}
}

@article{Nie96a,
   author = {Niederhausen, H.},
    journal = {J. Stat. Plann. Inference},
   note = {(MR~97h:05016)},
   pages = {87-100},
   title = {Symmetric {S}heffer sequences and their their applications to
lattice path counting.},
   volume = {54},
   year = {1996}
}

@inproceedings{Nie97a,
   author = {Niederhausen, H.},
   editor = {N. Balakrishnan},
    pages = {87-100},
   booktitle = {Advances in Combinatorial Methods and Applications to
  Probability and Statistics},
   title = {Lattice path enumeration and {U}mbral {C}alculus},
   publisher = {Birkh\"auser},
   address = {Boston},
   year = {1997},
   
}
@article {Nie99a,
   AUTHOR = {Niederhausen, Heinrich},
    TITLE = {Recursive initial value problems for {S}heffer sequences},
  JOURNAL = {Discrete Math.},
 FJOURNAL = {Discrete Mathematics},
   VOLUME = {204},
     YEAR = {1999},
   NUMBER = {1-3},
    PAGES = {319--327},
     ISSN = {0012-365X},
    CODEN = {DSMHA4},
  MRCLASS = {05A40 (11B83)},
 MRNUMBER = {1 691 875},
   MRREVR = {Renzo Sprugnoli},
}

@article{Oli1,
   author = {Olive, G.},
   journal = {J. Math. Anal. Appl.},
   note = {(MR~81a:05011)},
   pages = {460-473},
   title = {Binomial functions and combinatorial mathematics},
   volume = {70},
   year = {1979}
}

@article{Oli2,
   author = {Olive, G.},
   journal = {J. Math. Anal. Appl.},
   note = {(MR~86b:05003)},
   pages = {274-284},
   title = {Taylor series revisited},
   volume = {104},
   year = {1984}
}

@article{Oli3,
   author = {Olive, G.},
   journal = {J. Math. Anal. Appl.},
   note = {(MR~87e:05011)},
   pages = {201-235},
   title = {Catalan numbers revisited},
   volume = {111},
   year = {1985}
}

@article{Oli4,
   author = {Olive, G},
   journal = {Austral. Math. Soc. Gaz.},
   note = {(MR~85f:05004)},
   number = {1},
   pages = {2-13},
   title = {Some functions that count},
   volume = {10},
   year = {1983}
}

@article{Oli5,
   author = {Olive, G.},
   journal = {J. Math. Anal. Appl.},
   note = {(MR~89b:05008)},
   pages = {324-332},
   title = {A special class of infinite matrices},
   volume = {123},
   year = {1987}
}

@article{Oli6,
   author = {Olive, G.},
   journal = {Stud. Appl. Math.},
   note = {(MR~90f:05014)},
   pages = {21-30},
   title = {The ballot problem revisited},
   volume = {78},
   year = {1988}
}

@article{Osh1,
   author = {Oshegov, V.B.},
   journal = {Soviet Math.},
   note = {(MR~31\#393)},
   pages = {1651-1653},
   title = {Some extremal properties of generalized  {A}ppell polynomials},
   volume = {5},
   year = {1964}
}

@article{Osh2,
   author = {Oshegov, V.B.},
   journal = {Leningrad Meh. Inst. Sb. Nauzn. Trudov},
   note = {(MR~31\#1703)},
   pages = {182-185},
   title = {An integral representation for the generalized {A}ppell 
            polynomials of class $A^{(k)}$},
   volume = {50},
   year = {1965}
}

@phdthesis{Pal,
   author = {Palas, F.J.},
   school = {Oklahoma University},
   title = {The polynomials generated by $f(t)\, exp[p(x) u(t)]$},
   year = {1955}
}
@article{PaLSR,
   author = {Pal, S. G. and Singh, S. N. and Rai, V. S},
   journal = {Vijnana Parishad Anusandhan Patrika},
   note = {(MR~88h:33030)},
   pages = {171--175},
   year = {1986},
   title = {A two-variable extension of {B}ernoulli polynomials of second kind 
    (Hindi)},
   volume = {29},
}   
@article{Para,
   author = {Parashar, B.P.},
   journal = {Indian J. Pure Appl. Math.},
   note = {(MR~86f:05019)},
   pages = {1332-1339},
   title = {On generalized exponential {E}uler polynomials},
   volume = {15},
   year = {1984}
}

@phdthesis{Parr1,
   author = {Parrish, C.},
   school = {University of California at San Diego, La Jolla},
   title = {Multivariate umbral calculus},
   year = {1974}
}

@article{Parr2,
   author = {Parrish, C.},
   journal = {J. Linear and Multilinear Algebra},
   note = {(MR~58\#10487)},
   pages = {93-109},
   title = {Multivariate umbral calculus},
   volume = {6},
   year = {1978}
}

@article{Pin1,
   author = {Pincherle, S.},
   journal = {Atti. Accad. naz. Lincei, Rend. Cl. Fis. Mat. Nat. (4)},
   pages = {214-217},
   title = {Alcune osservazioni sui polinomi del prof. {A}ppell},
   volume = {2},
   year = {1886}
}

@article{Pin2,
   author = {Pincherle, S.},
   journal = {Acta Math.},
   pages = {153-182},
   title = {Sur certaines op\'{e}rations represent\'{e}es par des 
int\'{e}grales definies},
   volume = {10},
   year = {1887}
}

@article{Pin3,
   author = {Pincherle, S.},
   journal = {Atti Accad. Torino},
   pages = {820-844},
   title = {Sulle operazioni distributive commutabili con una operazione data},
   volume = {30},
   year = {1895}
}

@article{Pin4,
   author = {Pincherle, S.},
   journal = {Rend. Mat. Palermo},
   pages = {165-175},
   title = {Sulle serie procedenti secondo le derivate successive di una funzione},
   volume = {11},
   year = {1897}
}

@article{Pin5,
   author = {Pincherle, S.},
   journal = {Math. Ann.},
   pages = {325-382},
   title = {M\'{e}moire sur le calcul fonctionnel distributif},
   volume = {49},
   year = {1897}
}

@article{Pin6,
   author = {Pincherle, S.},
   journal = {Rend. Mat. Palermo},
   pages = {273-293},
   title = {Risoluzione di una classe di equazione funzionali},
   volume = {18},
   year = {1904}
}

@article{Pin7,
   author = {Pincherle, S.},
   journal = {Acta Math.},
   note = {Translation of a memoir published in Memoire della 
           R.  Accademia delle Scienze dell' Istituto di Bologna) 
           (ser. 4) vol. 9, 1888, 45-71},
   pages = {279-304},
   title = {Sur la r\'{e}solution de l'\'{e}quation fonctionnelle 
            $\sum h_{\nu} \varphi(x+a_{\nu})$ \'{a} coefficients  constants},
   volume = {48},
   year = {1926}
}

@article{Pin8,
   author = {Pincherle, S.},
   journal = {Atti Accad. naz. Lincei Rend. Cl. Fis. Mat. Nat. VI s.},
   note = {(Zbl. 2, 30)},
   pages = {522-562},
   title = {Sopra uno speciale operatore lineare},
   volume = {13},
   year = {1931}
}

@article{Pin9,
   author = {Pincherle, S.},
   journal = {Atti Accad. naz. Lincei Rend. Cl. Fis. Mat. Nat. VI s.},
   note = {(Zbl. 3, 309)},
   pages = {237-243},
   title = {Sopra uno speciale operatore lineare {II}},
   volume = {14},
   year = {1931}
}

@article{Pin10,
   author = {Pincherle, S.},
   journal = {Atti Accad. naz. Lincei Rend. Cl. Fis. Mat. Nat. VI s.},
   note = {(Zbl. 3, 310)},
   pages = {317-322},
   title = {Sopra uno speciale operatore lineare {III}},
   volume = {14},
   year = {1931}
}

@article{Pin11,
   author = {Pincherle, S.},
   journal = {Atti Accad. naz. Lincei Rend. Cl. Fis. Mat. Nat. VI s.},
   note = {(Zbl. 8, 210)},
   pages = {417-519},
   title = {Operatori lineari e coefficienti di fattorali},
   volume = {18},
   year = {1933}
}

@book{Pin12,
   author = {Pincherle, S.},
   note = {(selected papers; contains complete bibiography)},
   publisher = {Cremonese, Rome},
   title = {Opere Scelte},
   year = {1954}
}

@book{PiA,
   author = {Pincherle, S. and U. Amaldi},
   publisher = {N. Zanichelli},
   address = {Bologna},
   title = {Le operazioni distributive e le loro applicazioni all'analisi},
   year = {1901}
}

@article{Pla92,
   author = {M.L. Platonov},
   journal = {Diskretnaya Matematika},
   pages = {33-49},
   title = {Combinatorial polynomials in an algebra of operators 
            that commute with the shift operator},
   volume = {4},
   year = {1992}
}

@article {Popa98,
   AUTHOR = {Popa, E. C.},
    TITLE = {On the {S}heffer polynomials},
  JOURNAL = {Bul. \c Stiin\c t. Univ. Politeh. Timi\c s. Ser. Mat. Fiz.},
 FJOURNAL = {Buletinul \c Stiin\c tific al Universit\u a\c tii
             ``Politehnica'' din Timi\c soara. Seria Matematic\u a-Fizic\u
             a},
   VOLUME = {43(57)},
     YEAR = {1998},
   NUMBER = {1},
    PAGES = {21--23},
     ISSN = {1224-6069},
  MRCLASS = {33C45 (05A40)},
 MRNUMBER = {99k:33032},
}

@article{Pop31,
   author = {T. Popoviciu},
   journal = {Bul. Soc.  \c{S}ti. Cluj},
   note = {Zbl.~2, 398},
   pages = {146-148},
   title = {Remarques sur les polynomes binomiaux},
   volume = {6},
   year = {1931}
}
@article{Pop1,
   author = {Popoviciu, T.},
   journal = {Bull. Math. Soc. Sci. Roumanie},
   pages = {11-21},
   title = {Asupra polinamelor cari formeaza un sir {A}ppell {I}},
   volume = {33},
   year = {1932}
}

}
@article{Pop2,
   author = {Popoviciu, T.},
   journal = {Bull. Math. Soc. Sci Roumanie},
   pages = {22-27},
   title = {Asupra polinamelor cari formeaza un sir {A}ppell {II}},
   volume = {34},
   year = {1932}
}

@article{PCG,
   author = {Prabhakar, T.R. and M.~Chopra and S.~Gupta},
   journal = {Indian J. Pure Appl. Math.},
   note = {(MR~57\#16746)},
   pages = {194-199},
   title = {An {A}ppell cross-sequence suggested by {H}ermite polynomials},
   volume = {9},
   year = {1978}
}

@article{PGR,
   author = {Prabhakar, T.R. and S. Gupta and Reva},
   journal = {Indian J. Pure Appl. Math.},
   note = {(MR~81m:05011)},
   number = {10},
   pages = {1361-1368},
   title = {Bernstein polynomials of the second kind and general order},
   volume = {11},
   year = {1980}
}

@article{PrR1,
   author = {Prabhakar, T.R. and Reva},
   journal = {Indian J. Pure Appl. Math.},
   note = {(MR~81c:10018)},
   number = {10},
   pages = {1216-1227},
   title = {An {A}ppell cross-sequence suggested by the {B}ernoulli and 
{E}uler polynomials of general order},
   volume = {10},
   year = {1979}
}

@article{PrR2,
   author = {Prabhakar, T.R. and Reva},
   journal = {Indian J.  Pure Appl. Math.},
   note = {(MR~82h:33015)},
   pages = {889-897},
   title = {A general {S}heffer set of polynomials relevant 
to the theory of hyperbolic differential equations},
   volume = {12},
   year = {1981}
}

@article{PrR3,
   author = {Prabhakar, T.R. and Reva},
   journal = {Bull. Inst. Math. Acad Sinica},
   note = {(Zbl. 499.33009)},
   pages = {117-127},
   title = {Generalized van der {P}ol polynomials},
   volume = {10},
   year = {1982}
}

@article{PrR4,
   author = {Prabhakar, T.R. and Reva},
   journal = {Math. Student},
   note = {(MR~90e:33033)},
   pages = {116-123},
   title = {An {A}ppell sequence of a general nature},
   volume = {50},
   year = {1982}
}

@article{Pro,
   author = {H. Prodinger},
   journal = {Canad. Math. Bull.},
   note = {(MR~84m:05012)},
   pages = {312-316},
   title = {Ordered {F}ibonacci partitions},
   volume = {26},
   year = {1983}
}

@article{Rai1,
   author = {Rainville, E.D.},
   journal = {Amer. Math. Monthly},
   note = {(MR~7, 440)},
   pages = {299-305},
   title = {Some symbolic relations among classical polynomials},
   volume = {53},
   year = {1946}
}

@book{Rai2,
   author = {Rainville, E.D.},
   publisher = {Chelsea, New York},
   title = {Special functions},
   year = {1960}
}

@article{Ran1,
   author = {Rangarajan, S.K.},
   journal = {Proc. Indian Acad. Sci. Sect. A},
   note = {(MR~29\#3701)},
   pages = {65-73},
   title = {Generalized {A}ngelescu polynomials: {S}ome properties},
   volume = {60},
   year = {1964}
}

@article{Ran2,
   author = {Rangarajan, S.K.},
   journal = {Proc. Indian Acad. Sci. Sect. A},
   note = {(MR~29\#6081)},
   pages = {153-158},
   title = {On some infinite series involving {A}ppell polynomials and 
                   the functions $F(z,\alpha)$},
   volume = {60},
   year = {1964}
}

@article{Ras,
   author = {Rasala, R.},
   journal = {J. Math. Anal. Appl.},
   note = {(MR~83g:33009)},
   pages = {443-482},
   title = {The {R}odrigues formula and  polynomial  differential  operators},
   volume = {84},
   year = {1981}
}

@article{Ray1,
   author = {Ray, N.},
   journal = {Adv. Math.},
   note = {(MR~88b:05019)},
   pages = {49-100},
   title = {Extensions of umbral calculus, penumbral coalgebras and 
generalized {B}ernoulli numbers},
   volume = {61},
   year = {1986}
}

@incollection{Ray2,
   author = {Ray, N.},
   booktitle = {Homotopy theory (Durham 1985)},
   note = {(MR~89k:55007)},
   pages = {195-238},
   publisher = {Cambridge University Press},
   series = {London Math. Soc. Lect. Notes Series},
   title = {Symbolic calculus: a 19th century approach to {MU} and {BP}},
   volume = {117},
   year = {1987}
}

@article{Ray3,
   author = {Ray, N.},
   journal = {Trans. Amer. Math. Soc.},
   note = {(MR~89k:05014)},
   pages = {191-213},
   title = {Umbral calculus, binomial  enumeration  and  chromatic  polynomials},
   volume = {309},
   year = {1988}
}

@inbook{Ray4,
   author = {Ray, N.},
   booktitle = {Algebraic topology (Arcata 1986)},
   note = {(MR~90f:55010)},
   pages = {362-373},
   publisher = {Springer, Berlin},
   series = { Lect. Notes in Math.},
   title = {{S}tirling and {B}ernoulli numbers for complex oriented  homology theory},
   volume = {1370},
   year = {1989}
}

@inbook{Ray5,
   author = {Ray, N.},
   booktitle = {Algebraic topology},
   note = {(MR~90i:55006)},
   pages = {297-302},
   publisher = {Amer.Math. Soc.},
   series = {Cont. Math.},
   title = {Loops on the 3-sphere and umbral calculus},
   volume = {96},
   year = {1989}
}

@article{Ray92,
   author = {Ray, N. },
   journal = {Proc. London Math. Soc. },
   series = {III.},
   note = {(MR~93f:05042)},
   pages = {23-45},
   title = {Tutte algebras of graphs and formal group theory},
   volume = {65},
   year = {1992}
}



@incollection {Ray98,
   AUTHOR = {Ray, N.},
    TITLE = {Universal constructions in umbral calculus},
BOOKTITLE = {Mathematical essays in honor of Gian-Carlo Rota (Cambridge, MA,
             1996)},
    PAGES = {343--357},
PUBLISHER = {Birkh\"auser Boston},
  ADDRESS = {Boston, MA},
     YEAR = {1998},
  MRCLASS = {05A40},
 MRNUMBER = {99e:05015},
   MRREVR = {Marko Razpet},
}

@article{RaW,
   author = {Ray, N. and C. Wright},
   journal = {Ars Combin.},
   note = {(MR~89e:05092)},
   pages = {277-286},
   title = {Colourings and partition types: a generalised chromatic polynomial},
   volume = {25 B},
   year = {1988}
}

@article{RaW2,
   author = {Ray, N. and C. Wright},
   journal = {Discr. Math.},
   note = {(MR~?},
   pages = {67-74},
   title = {Umbral interpolation and the addition/contraction tree for graphs},
   volume = {103},
   year = {1992}
}

@article {RaSchW90,
   AUTHOR = {Ray, Nigel and Schmitt, William and Wright, Colin},
    TITLE = {Colouring simplicial complexes},
     NOTE = {Twelfth British Combinatorial Conference (Norwich, 1989)},
  JOURNAL = {Ars Combin.},
 FJOURNAL = {Ars Combinatoria},
   VOLUME = {29},
     YEAR = {1990},
   NUMBER = {A},
    PAGES = {161--169},
     ISSN = {0381-7032},
    CODEN = {ACOMDN},
  MRCLASS = {05A40 (05A15 05A18 05C15)},
 MRNUMBER = {98c:05017},
   MRREVR = {Christian Krattenthaler},
}

@article{Raz1,
   author = {Razpet, M.},
   journal = {J. Math. Anal. Appl.},
   note = {(MR~91i:05018)},
   pages = {1-16},
   title = {An application of the umbral calculus},
   volume = {149},
   year = {1990}
}

@article{Raz2,
   author = {Razpet, M.},
   journal = {J. Math. Anal. Appl.},
   note = {(MR~91i:05020)},
   pages = {85-99},
   title = {A new class of polynomials with applications},
   volume = {150},
   year = {1990}
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@article{Raz3,
   author = {Razpet, M.},
   journal = {J. Math. Anal. Appl.},
   note = {(MR~91i:05019)},
   pages = {284-288},
   title = {A note on the {S}heffer shift operator},
   volume = {150},
   year = {1990}
}

@article{Rei1,
   author = {Reiner, D.L.},
   journal = {Lin. Multilin. Alg.},
   note = {(MR~56\#11809)},
   pages = {175-179},
   title = {Sequences of polynomials of fractional binomial type},
   volume = {5},
   year = {1977}
}

@article{Rei2,
   author = {Reiner, D.L.},
   journal = {Stud. Appl. Math.},
   note = {(MR~58\#21668)},
   pages = {119-133},
   title = {Multivariate sequences of binomial type},
   volume = {57 (2)},
   year = {1977}
}

@article{Rei3,
   author = {Reiner, D.L.},
   journal = {Stud. Appl. Math.},
   note = {(MR~58\#260)},
   pages = {95-117},
   title = {The combinatorics of polynomial sequences},
   volume = {58},
   year = {1978}
}

@article{Rei4,
   author = {Reiner, D.L.},
   journal = {Stud. Appl. Math.},
   note = {(MR~82d:05023)},
   pages = {89-93},
   title = {{E}ulerian binomial type revisited},
   volume = {64},
   year = {1981}
}

@article {MR96e:05017,
   AUTHOR = {Rieger, G.J.},
    TITLE = {Eine {B}emerkung zu {B}inomialsatz und {M}\"obius-{U}mkehrung},
  JOURNAL = {Math. Semesterber.},
 FJOURNAL = {Mathematische Semesterberichte},
   VOLUME = {40},
     YEAR = {1993},
   NUMBER = {2},
    PAGES = {173--175},
     ISSN = {0720-728X},
  MRCLASS = {05A40},
 MRNUMBER = {96e:05017},
   MRREVR = {Peter Kirschenhofer},
}

@article{Rom1,
   author = {Roman, S.M.},
   journal = {Adv. Math.},
   note = {(MR~81b:05016 a/b); erratum Adv. Math. 35, 1980, 274},
   pages = {309-329},
   title = {The algebra of formal series},
   volume = {31},
   year = {1979}
}

@article{Rom2,
   author = {Roman, S.M.},
   journal = {J. Math. Anal. Appl.},
   note = {(MR~81i:05023a)},
   pages = {120-143},
   title = {The algebra of formal series. {II}. {S}heffer sequences},
   volume = {74},
   year = {1980}
}

@article{Rom3,
   author = {Roman, S.M.},
   journal = {J. Approx. Theory},
   note = {(MR~81i:05023b)},
   pages = {340-381},
   title = {The algebra of formal series. {III}. Several variables},
   volume = {26},
   year = {1979}
}

@article{Rom4,
   author = {Roman, S.M.},
   journal = {Amer. Math. Monthly},
   note = {(MR~82d:26003)},
   pages = {805-809},
   title = {The formula of {F}aa di {B}runo},
   volume = {87},
   year = {1980}
}

@article{Rom5,
   author = {Roman, S.M.},
   journal = {J. Math. Anal. Appl.},
   note = {(MR~83k:41006)},
   pages = {333-371},
   title = {Polynomials, power series and interpolation},
   volume = {80},
   year = {1981}
}

@article{Rom6,
   author = {Roman, S.M.},
   journal = {J. Math. Anal. Appl.},
   note = {(MR~84c:05008a)},
   pages = {58-115},
   title = {The theory of umbral calculus {I}.},
   volume = {87},
   year = {1982}
}

@article{Rom7,
   author = {Roman, S.M.},
   journal = {J. Math. Anal. Appl.},
   note = {(MR~84c:05008b)},
   pages = {290-314},
   title = {The theory of umbral calculus {II}.},
   volume = {89},
   year = {1982}
}

@article{Rom82,
   author = {Roman, S.M.},
   journal = {Lin. Multilin. Algebra},
   note = {(MR~84b:15014)},
   pages = {1-20},
   title = {Operational formulas},
   volume = {12},
   year = {1982/1983}
}

@article{Rom8,
   author = {Roman, S.M.},
   journal = {J. Math. Anal. Appl.},
   note = {(MR~85e:05020)},
   pages = {528-563},
   title = {The theory of umbral calculus {III}.},
   volume = {95},
   year = {1983}
}

@book{Rom9,
   author = {Roman, S.M.},
   note = {(MR 87c:05015 = Zbl. 536.33001)},
   publisher = {Academic Press},
   title = {The Umbral Calculus},
   year = {1984}
}

@article{Rom10,
   author = {Roman, S.M.},
   journal = {J. Math. Anal. Appl.},
   note = {(MR 86h:05024)},
   pages = {222-254},
   title = {More on the umbral calculus, with emphasis on the $q$-umbral calculus},
   volume = {107},
   year = {1985}
}

@book{Rom92a,
   author = {S.M.~Roman},
   publisher = {Springer},
   series = {Graduate Texts in Mathematics},
   title = {Advanced Linear Algebra},
   year = {1992}
}

@article{Rom92b,
   author = {Roman, S.M.},
   journal = {Amer. Math. Monthly},
   pages = {641-648},
   title = {The logarithmic binomial formula},
   volume = {99},
   note = {(MR~93h:05014)},
   year = {1992}
}
@article{Rom93,
   author = {Roman, S.M.},
   journal = {J. Combin. Theory},
   pages = {143-163},
   title = {The harmonic logarithms and the binomial formula},
   volume = {63},
   note = {(MR~94i:05007)},
   year = {1993},
   series = {A}
}

@article{RLSS1,
   author = {Roman, S.M. and P.N. De Land and R.C. Shiflett and H.S. Schultz},
   journal = {J. Comb. Inf. Syst. Sci.},
   note = {(MR~87b:05026)},
   pages = {235-240},
   title = {The umbral calculus and the solution to certain recurrence relations},
   volume = {8},
   year = {1983}
}

@article{RLSS2,
   author = {Roman, S.M. and P.N. De Land and R.C. Shiflett and H.S. Schultz},
   journal = {J. Comb. Inf. Syst. Sci.},
   note = {(MR~86h:05023)},
   pages = {185-198},
   title = {Inverse relations and the umbral calculus},
   volume = {8},
   year = {1983}
}

@article{RoR,
   author = {Roman, S.M. and G.-C. Rota},
   journal = {Adv. Math.},
   note = {(MR~58\#5256)},
   pages = {95-188},
   title = {The umbral calculus},
   volume = {27},
   year = {1978}
}

@article{Rot1,
   author = {Rota, G.-C.},
   journal = {Amer. Math. Monthly},
   note = {(MR~28\#5009)},
   pages = {498-504},
   title = {The number of partitions of a set},
   volume = {71},
   year = {1964}
}

@article{Rot2,
   author = {Rota, G.-C.},
   journal = {Z. Wahrsch. verw. Geb.},
   note = {(MR~30\#4688)},
   pages = {340-368},
   title = {On the foundations of combinatorial theory {I}. {T}heory of 
{M}\"{o}bius functions},
   volume = {2},
   year = {1964}
}

@book{Rot3,
   author = {Rota, G.-C.},
   note = {(MR~53\#7796)},
   publisher = {Academic Press, New York},
   title = {Finite operator calculus},
   year = {1975}
}

@article{RKO,
   author = {{R}ota, G.-C. and D. Kahaner and A. Odlyzko},
   journal = {J. Math. Anal. Appl.},
   note = {(MR~49\#10556)},
   pages = {684-760},
   title = {On the foundations of combinatorial theory {VII}.  
{F}inite operator calculus},
   volume = {42},
   year = {1973}
}

@article {RoShTay97,
   AUTHOR = {Rota, G.-C. and Shen, J. and Taylor, B.D.},
    TITLE = {All polynomials of binomial type are represented by {A}bel
             polynomials},
     NOTE = {Dedicated to Ennio De Giorgi},
  JOURNAL = {Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4)},
 FJOURNAL = {Annali della Scuola Normale Superiore di Pisa. Classe di
             Scienze. Serie IV},
   VOLUME = {25},
     YEAR = {1997},
   NUMBER = {3-4},
    PAGES = {731--738 (1998)},
    CODEN = {PSNAAI},
  MRCLASS = {05A40},
 MRNUMBER = {99j:05018},
   MRREVR = {Maurice J. Ginocchio},
}

@inproceedings{RotaTay93,
   author = {Rota, G.-C. and B.D. Taylor},
   booktitle = {Analysis, Geometry and Groups: A Riemann Legacy Volume},
   editor = {H.M. Srivastava  and Th.M. Rassias},
   pages = {513-525},
   title = {An introduction to the umbral calculus},
   year = {1993},
    note = {(MR~96a:05015)},
   publisher = {Hadronic Press},
   address = {Palm Harbor}
}
@article{RotaTay94,
   author = {Rota, G.-C. and B.D. Taylor},
   journal = {SIAM J. Math. Anal.},
   pages = {694-711},
   title = {The classical umbral calculus},
   volume = {25},
   note = {(MR~95d:05014)},
   year = {1994}
}
@article{Sah72,
   author = {R.B. Sahu},
   journal = {Ranchi Univ. Math. J.},
   note = {(MR~47 \# 7086)},
   pages = {63-66},
   title = {On the polynomials of {S}heffer {A}-type generated by 
$A(t) \Psi [x H(t)\, +\, g(t)]$},
   year = {1972}
}

@article{Sca,
   author = {Scaravelli, C.},
   journal = {Riv. Mat. Univ. Parma},
   note = {(MR~36\#440)},
   pages = {103-116},
   title = {Su i polinomi di {A}ppell},
   volume = {6 (2)},
   year = {1965}
}

@article{Sch,
   author = {Schmidlin, D.J.},
   journal = {IEEE Transactions Circuits Systems},
   note = {(MR~83b:93031)},
   pages = {981-994},
   title = {The Characterization of Causal Shift-Variant Systems 
Excited by Causal Inputs},
   volume = {28},
   year = {1981}
}


@article {SeVeYa97,
   AUTHOR = {Senato, D. and Venezia, A. and Yang, J.},
    TITLE = {M\"obius polynomial species},
  JOURNAL = {Discrete Math.},
 FJOURNAL = {Discrete Mathematics},
   VOLUME = {173},
     YEAR = {1997},
   NUMBER = {1-3},
    PAGES = {229--256},
     ISSN = {0012-365X},
    CODEN = {DSMHA4},
  MRCLASS = {05A40 (05A15 05E05)},
 MRNUMBER = {98k:05011},
   MRREVR = {Alessandro Di Bucchianico},
}
@article{Sha1,
   author = {Shastri, N.A.},
   journal = {Proc. Indian Acad. Sci. Sect. A},
   note = {(MR~2, 43)},
   pages = {312-317},
   title = {On {A}ngelescu's polynomial $\pi_{n}(x)$},
   volume = {11},
   year = {1940}
}

@article{Sha2,
   author = {Shastri, N.A.},
   journal = {Proc. Indian Acad. Sci. Sect. A},
   note = {(MR~2, 43)},
   pages = {73-82},
   title = {Some results  involving  {A}ngelescu's  polynomial $\pi_{n}(x)$},
   volume = {12},
   year = {1940}
}

@article{She1,
   author = {{S}heffer, I.M.},
   journal = {Trans. Amer. Math. Soc.},
   pages = {261-280},
   title = {Expansions in generalized {A}ppell polynomials, and a 
class of related linear functional equations},
   volume = {31},
   year = {1929}
}

@article{She2,
   author = {{S}heffer, I.M.},
   journal = {Trans. Amer. Math. Soc.},
   pages = {281-289},
   title = {Systems of infinitely many linear  differential equations 
of infinite order with constant coefficients},
   volume = {31},
   year = {1929}
}

@article{She3,
   author = {{S}heffer, I.M.},
   journal = {Ann. of Math.},
   pages = {250-264},
   title = {Systems of linear differential equations of infinite order 
with constant coefficients},
   volume = {30},
   year = {1929}
}

@article{She4,
   author = {{S}heffer, I.M.},
   journal = {Ann. of Math.},
   pages = {345-372},
   title = {Linear differential equations of infinite order, with polynomial 
coefficients of order one},
   volume = {30},
   year = {1929}
}

@article{She5,
   author = {{S}heffer, I.M.},
   journal = {Amer. J. Math.},
   note = {(Zbl. 1,7)},
   pages = {15-38},
   title = {On sets of polynomials and associated functional operators 
and equations},
   volume = {53},
   year = {1931}
}

@article{She6,
   author = {{S}heffer, I.M.},
   journal = {Trans. Amer. Math. Soc.},
   note = {(Zbl. 6, 163)},
   pages = {184-214},
   title = {On the properties of polynomials satisfying a linear 
differential equation: {P}art {I}},
   volume = {35},
   year = {1933}
}

@article{She7,
   author = {{S}heffer, I.M.},
   journal = {T\^{o}hoku Math. J.},
   note = {(Zbl. 9, 153)},
   pages = {299-315},
   title = {An aspect of the theory of linear differential equations},
   volume = {39},
   year = {1934}
}

@article{She8,
   author = {{S}heffer, I.M.},
   journal = {Amer. J. Math.},
   note = {(Zbl. 12, 157)},
   pages = {587-614},
   title = {Concerning some methods of best approximation, and a theorem of {B}irkhoff},
   volume = {57},
   year = {1935}
}

@article{She9,
   author = {{S}heffer, I.M.},
   journal = {Bull. Amer. Math. Soc.},
   note = {(Zbl. 13, 166)},
   pages = {914-923},
   title = {A differential equation for {A}ppell polynomials},
   volume = {41},
   year = {1935}
}

@article{She10,
   author = {{S}heffer, I.M.},
   journal = {Bull. Amer. Math. Soc.},
   note = {(Zbl. 12, 81)},
   pages = {367-372},
   title = {Note on non-analytic functions},
   volume = {41},
   year = {1935}
}

@article{She11,
   author = {{S}heffer, I.M.},
   journal = {Trans. Amer. Math. Soc.},
   note = {(Zbl. 15, 12); correction Trans. Amer. Math. Soc. 41, 1937, 153-159},
   pages = {345-379},
   title = {A local solution of the difference equation ${\Delta} y(x)=F(x)$ and of 
            related questions},
   volume = {39},
   year = {1936}
}

@article{She12,
   author = { {S}heffer,  I.M.},
   journal = {Bull. Amer. Math. Soc.},
   note = {(Zbl. 16, 307)},
   pages = {283-287},
   title = {A simplified solution of the equation ${\Delta} y(x)=F(x)$},
   volume = {43},
   year = {1937}
}

@article{She13,
   author = {{S}heffer, I.M.},
   journal = {Duke Math. J.},
   note = {(Zbl. 18, 136)},
   pages = {593-609},
   title = {Concerning {A}ppell sets and associated linear functional  equations},
   volume = {3},
   year = {1937}
}

@article{She14,
   author = {{S}heffer, I.M.},
   journal = {Duke Math. J.},
   note = {(Zbl. 22, 15; MR~1, 15)},
   pages = {590-622},
   title = {Some properties of polynomial sets of type zero},
   volume = {5},
   year = {1939}
}

@article{She15,
   author = {{S}heffer, I.M.},
   journal = {Bull. Amer. Math. Soc.},
   note = {(MR~3, 111)},
   pages = {885-898},
   title = {Some applications of certain polynomial classes},
   volume = {47},
   year = {1941}
}

@article{She16,
   author = {{S}heffer, I.M.},
   journal = {Duke Math. J.},
   note = {(MR~5, 236)},
   pages = {167-180},
   title = {Systems of linear equations of analytic type},
   volume = {11},
   year = {1944}
}

@article{She17,
   author = {{S}heffer, I.M.},
   journal = {Bull. Amer. Math. Soc.},
   note = {(MR~7, 64)},
   pages = {739-744},
   title = {Note on {A}ppell polynomials},
   volume = {51},
   year = {1945}
}

@article{She18,
   author = {{S}heffer, I.M.},
   journal = {Amer. J. Math.},
   note = {(MR~6, 180)},
   pages = {123-140},
   title = {An extension of a {P}erron system of linear equations in  
infinitely many unknowns},
   volume = {67},
   year = {1945}
}

@article {Shen99,
   AUTHOR = {Shen, Jianhong},
    TITLE = {Combinatorics for wavelets: the umbral refinement equation},
  JOURNAL = {Stud. Appl. Math.},
 FJOURNAL = {Studies in Applied Mathematics},
   VOLUME = {103},
     YEAR = {1999},
   NUMBER = {2},
    PAGES = {121--147},
     ISSN = {0022-2526},
  MRCLASS = {42Cxx (05A40)},
 MRNUMBER = {1 704 938},
}
@article{Shih,
   author = { Shih,  K.S.},
   journal = {Chinese J. Math.},
   note = {(MR~52\#14726)},
   pages = {113-117},
   title = {On the  functional  equations  ${P}_{n}(x+y)  =   
\sum_{k=0}^{n} {n \choose k} {P}_{k}(x) {P}_{n-k}(y)$},
   volume = {1},
   year = {1973}
}

@article{Shiu1,
   author = {Shiu, E.S.W.},
   journal = {Scand. Actuar. J.},
   note = {(MR~83m:62167)},
   pages = {123-128},
   title = {Steffensen's poweroids},
   volume = {2},
   year = {1982}
}

@article{Shiu2,
   author = {Shiu, E.S.W.},
   journal = {J. Approx. Theory},
   note = {(MR~84i:41004)},
   pages = {177-180},
   title = {Proofs of central-difference interpolation formulas},
   volume = {35},
   year = {1982}
}

@article{Sho,
   author = {Shohat, J.},
   journal = {Amer. J. Math.},
   note = {(Zbl. 14, 308)},
   pages = {453-464},
   title = {The relation of the classical orthogonal polynomials to the polynomials of 
            {A}ppell},
   volume = {58},
   year = {1936}
}

@article {Sin99,
   AUTHOR = {Singer, D.W.},
    TITLE = {A $p$-analogue of the $q$-{S}aalsch\"utz identity},
  JOURNAL = {Ramanujan J.},
 FJOURNAL = {The Ramanujan Journal. An International Journal Devoted to the
             Areas of Mathematics Influenced by Ramanujan},
   VOLUME = {3},
     YEAR = {1999},
   NUMBER = {1},
    PAGES = {37--43},
     ISSN = {1382-4090},
    CODEN = {RAJOF9},
  MRCLASS = {33D65 (05A40)},
 MRNUMBER = {2000e:33022},
   MRREVR = {Axel Riese},
}
@article{SiR,
   author = {Singh, S.N. and B.K. Rai},
   journal = {Rev. Roumaine Math. Pures Appl.},
   note = {(MR~89i:05030)},
   pages = {613-621},
   title = {An {A}ppell cross-sequence suggested by {B}ernoulli and {E}uler 
polynomials},
   volume = {33},
   year = {1988}
}
@article{SiA86a,
   author = {Singh, S.N. and Asthana, S.},
   journal = {J. Math. Anal. Appl.},
   note = {(MR~87i:33041)},
   pages = {422-442},
   title = {Multivariate shift invariant operators},
   volume = {118},
   year = {1986}
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@article{SiA86b,
   author = {Singh, S.N. and Asthana, S.},
   journal = {Nat. Acad. Sci. Lett.},
   note = {(MR~88b:33025)},
   pages = {13-15},
   title = {An application of {R}ota operator}, 
   volume = {9},
   year = {1986}
}

@article{SiR88a,
   author = {Singh, S.N. and Rai, B. K},
   journal = {Rev. Roumaine Math. Pures Appl.},
   note = {(MR~89i:05030)},
   pages = { 613--621},
   title = {An {A}ppell cross-sequence suggested by {B}ernoulli and {E}uler
polynomials},
   volume = {33},
   year = {1988}
}
@article{Sin1,
   author = {Singh, V.},
   journal = {Proc. Nat. Inst. Sci. India},
   note = {(Zbl. 59, 56)},
   pages = {280-289},
   title = {On {A}ngelescu's polynomials},
   volume = {20},
   year = {1954}
}

@article{Sin2,
   author = {Singh, V.},
   journal = {Proc. Nat. Inst. Sci. India},
   note = {(MR~16, 128)},
   pages = {341-347},
   title = {{A}ppell sets of polynomials},
   volume = {20},
   year = {1954}
}

@article{Sin3,
   author = {Singh, V.},
   journal = {J. London Math. Soc.},
   note = {(MR~17, 261)},
   pages = {475-479},
   title = {{A}ppell polynomials of large order},
   volume = {30},
   year = {1955}
}

@article{Sin4,
   author = {Singh, V.},
   journal = {Proc. Nat. Inst. Sci. India Part A},
   note = {(MR~19, 28)},
   pages = {26-31},
   title = {On the orthogonal sub-set of {A}ppell polynomials},
   volume = {22},
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}
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@techreport{Sta4,
   author = {Stam, A J.},
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@inproceedings{Sto1,
   author = {Storchevaya, G.D.},
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BOOKTITLE = {Mathematical essays in honor of Gian-Carlo Rota (Cambridge, MA,
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PUBLISHER = {Birkh\"auser Boston},
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     YEAR = {1998},
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   MRREVR = {Alessandro Di Bucchianico},
}
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   VOLUME = {5},
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    PAGES = {55--73},
     ISSN = {1259-1734},
  MRCLASS = {46S10 (05A40)},
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   AUTHOR = {Wimp, Jet},
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BOOKTITLE = {Mathematical essays in honor of Gian-Carlo Rota (Cambridge, MA,
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PUBLISHER = {Birkh\"auser Boston},
  ADDRESS = {Boston, MA},
     YEAR = {1998},
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 MRNUMBER = {99i:05023},
   MRREVR = {Alessandro Di Bucchianico},
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}
