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{\bf Edward A. Bender and L. Bruce Richmond}
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{\bf Multivariate Asymptotics for Products of Large Powers with Applications to Lagrange Inversion}
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An asymptotic estimate is given for the coefficients of products of
large powers of generating functions.
This theorem and another local limit theorem which is useful for
conditioning are applied to various combinatorial enumeration problems
that involve multivariate Lagrange inversion.



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