Asymptotic expansions of integrals of two Bessel functions via the generalized hypergeometric and Meijer functions
type: Item
instance of: scholarly article
title: Asymptotic expansions of integrals of two Bessel functions via the generalized hypergeometric and Meijer functions
zbMATH Open document ID: 0804.33002
DOI: 10.1016/0377-0427(94)90326-3
author: B. J. Stoyanov
author: R. A. Farrell
author: J. F. Bird
published in: Journal of Computational and Applied Mathematics
publication date: 1994-09-22T00:00:00Z
review text: Integrals involving the product of two Bessel functions of different orders appear in wave scattering and crystallography problems. Asymptotic expansions for such integrals are considered in this paper. The method used is to represent the integrals as Meijer's \(G\)-functions and then to use the standard results on the asymptotic expansions of the \(G\)- function.
Mathematics Subject Classification ID: 33C10
Mathematics Subject Classification ID: 33C60
Mathematics Subject Classification ID: 33C20
zbMATH DE Number: 643781
zbMATH Keywords: asymptotic expansions
zbMATH Keywords: Bessel functions
zbMATH Keywords: Meijer's \(G\)-functions
reviewed by: Arakaparampil M. Mathai
MaRDI profile type: Publication
full work available at URL: 0377-0427(94)90326-3
OpenAlex ID: W2086833977
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description: scientific article; zbMATH DE number 643781