Some basic extensions of Gustafson-Rakha's multivariate basic hypergeometric series
type: Item
instance of: scholarly article
title: Some basic extensions of Gustafson-Rakha's multivariate basic hypergeometric series
zbMATH Open document ID: 1023.33014
author: Medhat A. Rakha
published in: Annals of Combinatorics
publication date: 2003-03-25T00:00:00Z
review text: The author establishes that when \(m=2n\), and \(n=1\), one of the two multivariate basic hypergeometric series associated with the root system of classical Lie algebra obtained earlier by \textit{R. A. Gustafson} and the author [Ann. Comb. 4, 347-373 (2000; Zbl 0971.33009)] is equivalent to Jackson's \({}_8\psi_7\) sum while the other series is equivalent to the basic Gauss' sum.
Mathematics Subject Classification ID: 33D52
Mathematics Subject Classification ID: 33D15
Mathematics Subject Classification ID: 33D67
zbMATH DE Number: 1887496
zbMATH Keywords: \(q\)-series
zbMATH Keywords: \(q\)-beta integrals
zbMATH Keywords: integral transformation
zbMATH Keywords: hypergeometric series very well poised on Lie algebras
zbMATH Keywords: basic hypergeometric series
zbMATH Keywords: basic Jackson's sum
zbMATH Keywords: basic Gauss' sum
MaRDI profile type: Publication
full work available at URL: s00026-002-8035-y
OpenAlex ID: W2129735422
DOI: 10.1007/S00026-002-8035-Y
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description: scientific article; zbMATH DE number 1887496