A new symmetry related to SU(n) for clasical basic hypergeometric series
type: Item
instance of: scholarly article
title: A new symmetry related to SU(n) for clasical basic hypergeometric series
zbMATH Open document ID: 0586.33012
DOI: 10.1016/0001-8708(85)90106-9
published in: Advances in Mathematics
publication date: 1985-01-01T00:00:00Z
review text: A direct proof is given of an elegant new contiguous relation for classical, well-poised basic hypergeometric series which preserves the well-poised condition. The proof involves elementary series manipulations and does not depend upon the ''transposition symmetry'' of the general bisymmetric polynomials \(^ m_{\mu}G_ q^{(n)}(\gamma_ 1,...,\gamma_ n;\delta_ 1,...,\delta_ m)\) which was used to establish the ordinary or \(''q=1''\) case of the identity. The new contiguous relation can be considered as generalization of the \(_ 6\Phi_ 5\) summation theorem.
Mathematics Subject Classification ID: 33D80
Mathematics Subject Classification ID: 33D15
Mathematics Subject Classification ID: 33C60
zbMATH DE Number: 3939731
zbMATH Keywords: well-poised basic hypergeometric series
zbMATH Keywords: \(_ 6\Phi _ 5\) summation theorem
author: Stephen C. Milne
MaRDI profile type: Publication
full work available at URL: 0001-8708(85)90106-9
OpenAlex ID: W2074091640
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description: scientific article; zbMATH DE number 3939731