Some Sonine-Gegenbauer type integrals
type: Item
instance of: scholarly article
title: Some Sonine-Gegenbauer type integrals
zbMATH Open document ID: 0935.33001
DOI: 10.1016/S0898-1221(99)00207-2
publication date: 2000-01-20T00:00:00Z
review text: The paper is devoted to series representations of Sonine-Gegenbauer type integrals of the form \[ \int_0^z \frac{C_\mu (\sqrt{\alpha^2+ at^2})} {(\alpha^2+ at^2)^{\delta/2}} \frac{D_\nu (\sqrt{\beta^2+ bt^2})} {(\beta^2+ bt^2)^{\nu/2}} t^{\lambda-1} dt, \qquad z\in \mathbb{R}\cup \{\infty\}, \] where \(C_\mu\) and \(D_\nu\) are Bessel functions. Some special cases are considered and an application of the results is given.
Mathematics Subject Classification ID: 33C10
Mathematics Subject Classification ID: 33C20
zbMATH DE Number: 1391626
zbMATH Keywords: hypergeometric functions
zbMATH Keywords: Sonine-Gegenbauer type integrals
zbMATH Keywords: Bessel functions
author: Leda Galué
author: S. L. Kalla
author: Vu Kim Tuan
reviewed by: J. Saurer
MaRDI profile type: Publication
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published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 1391626