Simple connections between generalized hypergeometric series and dilogarithms
type: Item
instance of: scholarly article
title: Simple connections between generalized hypergeometric series and dilogarithms
zbMATH Open document ID: 0883.33005
DOI: 10.1016/S0377-0427(97)00138-6
author: Miguel Angel Sanchis-Lozano
published in: Journal of Computational and Applied Mathematics
publication date: 1998-01-28T00:00:00Z
review text: A closed-form expression of a special Appell function of the third kind is deduced in the form of a linear combination of three dilogarithms. This result is obtained by considering an Euler integral representation of \(F_3\) with an integrand consisting of the product of two Gauss hypergeometric functions. The main result of this paper is interesting in that an \(F_3\) is involved in which its parameters are specialised while its two variables are unspecified. This work is in part motivated by considering certain Feynman integrals.
reviewed by: H. Exton
Mathematics Subject Classification ID: 33C60
Mathematics Subject Classification ID: 33C65
Mathematics Subject Classification ID: 33E20
zbMATH DE Number: 1100617
zbMATH Keywords: Appell function of the third kinds
zbMATH Keywords: dilogarithms
zbMATH Keywords: Euler integral representation
zbMATH Keywords: Feynman integrals
MaRDI profile type: Publication
cites work: Q3661894
cites work: Some exact results for N-point massive Feynman integrals
cites work: Q5827353
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cites work: Q3671491
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Wikidata QID: Q126422147
full work available at URL: s0377-0427(97)00138-6
OpenAlex ID: W2084323770
description: scientific article; zbMATH DE number 1100617