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{\bf Fengying Huang and Bolian Liu}
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{\bf The Abel-Type Polynomial Identities}
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The Abel identity is $(x+y)^{n}=\sum\limits_{i=0}^{n}{n\choose i}x
(x-iz)^{i-1}(y+iz)^{n-i}$, where $x,y$ and $z$ are real numbers. In
this paper we deduce several polynomials expansions, referred to as
Abel-type identities, by using Foata's method, and also show some of
their applications.



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