\(q\)-gamma and \(q\)-beta functions in quantum algebra representation theory
type: Item
instance of: scholarly article
title: \(q\)-gamma and \(q\)-beta functions in quantum algebra representation theory
zbMATH Open document ID: 0872.33010
DOI: 10.1016/0377-0427(95)00253-7
author: R. Floreanini
author: Luc Vinet
published in: Journal of Computational and Applied Mathematics
publication date: 1997-09-21T00:00:00Z
review text: The authors consider a Hopf algebra \(\mathcal G_q\) which is generated by two generators. It is a \(q\)-deformation of the algebra of the infinitesimal affine transformations of the oriented line. By studying \(q\)-exponentials of the generators in some representations of \(\mathcal G_q\), the authors derive a number of identities featuring \(q\)-gamma and \(q\)-beta functions, and ordinary and bilateral basic hypergeometric series.
Mathematics Subject Classification ID: 33D05
Mathematics Subject Classification ID: 33D80
Mathematics Subject Classification ID: 16W30
Mathematics Subject Classification ID: 17B37
zbMATH DE Number: 908384
zbMATH Keywords: \(q\)-gamma function
zbMATH Keywords: \(q\)-beta function
zbMATH Keywords: quantum algebras
zbMATH Keywords: Hopf algebras
zbMATH Keywords: linear transformations of oriented line
zbMATH Keywords: addition formulas
reviewed by: C. Krattenthaler
MaRDI profile type: Publication
full work available at URL: 0377-0427(95)00253-7
OpenAlex ID: W2044831820
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description: scientific article; zbMATH DE number 908384