Hayman Admissible Functions in Several Variables

  • Bernhard Gittenberger
  • Johannes Mandlburger

Abstract

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.

Published
2006-11-17
Article Number
R106