The evaluation of integrals of Bessel functions via \(G\)-function identities
type: Item
instance of: scholarly article
title: The evaluation of integrals of Bessel functions via \(G\)-function identities
zbMATH Open document ID: 0853.65029
DOI: 10.1016/0377-0427(95)00153-0
published in: Journal of Computational and Applied Mathematics
publication date: 1997-01-05T00:00:00Z
review text: The paper gives a number of integrals with products of Bessel functions by using certain identities for Meijer's \(G\)-function. First a few reduction formulas for \(G\)-functions are derived. Examples include \(\int^\infty_0 x\exp(- zx^2) J_2(x), Y_2(x) dx\) and \(\int^\infty_0 x \exp(- zx^2) I_3(x), K_3(x) dx\).
Mathematics Subject Classification ID: 65D32
Mathematics Subject Classification ID: 41A55
Mathematics Subject Classification ID: 65D20
Mathematics Subject Classification ID: 33C10
Mathematics Subject Classification ID: 33C60
zbMATH DE Number: 903554
zbMATH Keywords: integrals with products of Bessel functions
zbMATH Keywords: Meijer's \(G\)-function
zbMATH Keywords: reduction formulas
author: V. S. Adamchik
reviewed by: Nico M. Temme
MaRDI profile type: Publication
full work available at URL: 0377-0427(95)00153-0
OpenAlex ID: W2169380150
cites work: A Definite Integral of a Product of Two Polylogarithms
cites work: Some remarks on uniform asymptotic expansions for Bessel functions
cites work: Q5508372
description: scientific article; zbMATH DE number 903554