Coxeter group actions on Saalschützian \(_4F_3(1)\) series and very-well-poised \(_7F_6(1)\) series
type: Item
instance of: scholarly article
title: Coxeter group actions on Saalschützian \(_4F_3(1)\) series and very-well-poised \(_7F_6(1)\) series
zbMATH Open document ID: 1229.33010
author: Ilia D. Mishev
published in: Journal of Mathematical Analysis and Applications
publication date: 2011-10-24T00:00:00Z
full work available at URL: https://arxiv.org/abs/1008.1011
review text: The author considers a function \(L(\bar{x})= L(a,b,c,d;e;f, g)\) which can be written as a linear combination of two Saalschützian \(_4F_3(1)\) hypergeometric series or as very well-poised \(_7F_6(1)\) hypergeometric series. The author explores two-term and three-term relations satisfied by the L-function and shows that this relation implies that the Coxeter group \(W(D_5)\) containing 1920 elements is an invariance group for \(L(\bar{x})\) .
reviewed by: Pranay Goswami
Mathematics Subject Classification ID: 33C20
zbMATH DE Number: 5962678
zbMATH Keywords: hypergeometric series
zbMATH Keywords: Coxeter groups
MaRDI profile type: Publication
OpenAlex ID: W2963604128
arXiv ID: 1008.1011
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DOI: 10.1016/J.JMAA.2011.07.031
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description: scientific article