Multivariate Asymptotics for Products of Large Powers with Applications to Lagrange Inversion

  • Edward A. Bender
  • L. Bruce Richmond
DOI: https://doi.org/10.37236/1440

Abstract

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.

Published
1999-01-12
Issue
Volume 6 (1999)
Article Number
R8