On integral representations and asymptotics of some hypergeometric functions in two variables

The leading asymptotic behaviour of the Humbert functions , , of two variables is found, when the absolute values of the two independent variables become simultaneously large. New integral representations of these functions are given. These are re-expressed as inverse Laplace transformations and the...

Full description

Bibliographic Details

Published in:	Integral transforms and special functions Vol. 29; no. 2; pp. 95 - 112
Main Authors:	Wald, Sascha, Henkel, Malte
Format:	Journal Article
Language:	English
Published:	Abingdon Taylor & Francis 01.02.2018 Taylor & Francis Ltd
Subjects:	Asymptotic properties asymptotics Humbert function Hypergeometric functions Hypergeometric functions in two variables Independent variables Integrals Laplace transforms Many-body quantum systems Mathematical analysis Representations special functions Tauberian theorem
ISSN:	1065-2469, 1476-8291
Online Access:	Get full text
Tags:	Add Tag No Tags, Be the first to tag this record!