Specialization of Appell's functions to univariate hypergeometric functions
type: Item
instance of: scholarly article
title: Specialization of Appell's functions to univariate hypergeometric functions
zbMATH Open document ID: 1169.33003
published in: Journal of Mathematical Analysis and Applications
publication date: 2009-05-19T00:00:00Z
full work available at URL: https://arxiv.org/abs/0804.0655
review text: The author identifies those univariate specializations of Appell's functions \(F_2\), \(F_3\), \(F_4\) that can be expressed in terms of the Gauss' hypergeometric function \({_2F_1}\). The computational aspects and interesting identities are also discussed. In Appendix A, a couple of relevant facts about ordinary Fuchsian equations are recalled and identities betweeen Appell's and Gauss' hypergeometric functions existing in literature are briefly reviewed.
reviewed by: K. C. Gupta
Mathematics Subject Classification ID: 33C65
Mathematics Subject Classification ID: 33C05
Mathematics Subject Classification ID: 33C20
zbMATH DE Number: 5555242
zbMATH Keywords: Appell functions
zbMATH Keywords: hypergeometric functions
zbMATH Keywords: Fuchsian differential equations
zbMATH Keywords: monodromy
author: Raimundas Vidunas
describes a project that uses: Kan
MaRDI profile type: Publication
OpenAlex ID: W1802466452
arXiv ID: 0804.0655
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DOI: 10.1016/J.JMAA.2009.01.047
description: scientific article