Asymptotic representations for hypergeometric-Bessel type function and fractional integrals
type: Item
instance of: scholarly article
title: Asymptotic representations for hypergeometric-Bessel type function and fractional integrals
zbMATH Open document ID: 1013.33003
DOI: 10.1016/S0377-0427(02)00562-9
author: Yanyan Li
published in: Journal of Computational and Applied Mathematics
publication date: 2003-02-23T00:00:00Z
review text: Integrals are considered that are generalizations of the Laplace-type integral representation of the \(\Psi\) (or \(U\)) confluent hypergeometric function. Expansions at the origin and at infinity are given and relations with the \(\Psi\) function and the \(K\) Bessel function are given as special cases. Next, fractional integrals of Liouville type and Erdélyi-Kober type are considered, and expansions at the orgin and at infinity of the integrals are given, as well as for three other fractional intgrals.
Mathematics Subject Classification ID: 33C15
Mathematics Subject Classification ID: 33C10
Mathematics Subject Classification ID: 41A60
Mathematics Subject Classification ID: 26A33
zbMATH DE Number: 1872931
zbMATH Keywords: asymptotic expansion
zbMATH Keywords: confluent hypergeometric function
zbMATH Keywords: Bessel-type function
zbMATH Keywords: fractional integrals
reviewed by: Nico M. Temme
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1872931