Hayman Admissible Functions in Several Variables

An alternative generalisation of Hayman's concept of admissible functions to functions in several variables is developed and a multivariate asymptotic expansion for the coefficients is proved. In contrast to existing generalisations of Hayman admissibility, most of the closure properties which are satisfied by Hayman's admissible functions can be shown to hold for this class of functions as well.

• Type: Journal
• Year: 2006
• Where: COMBINATORICS
• Authors: Bernhard Gittenberger, Johannes Mandlburger
• Keywords: Admissible Functions, Alternative Generalisation, COMBINATORICS 2006, Multivariate Asymptotic Expansion