On a solution of a \(q\)-difference analogue of Lauricella's \(D\)-type hypergeometric equation with \(|q|=1\)

DOI10.2977/prims/1195144697zbMath0965.33008OpenAlexW1510640053MaRDI QIDQ5931093

Michitomo Nishizawa

Publication date: 2 May 2001

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195144697

zbMATH Keywords

Lauricella's \(D\)-type hypergometric equation

Mathematics Subject Classification ID

Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Basic hypergeometric integrals and functions defined by them (33D60)

Related Items (1)

Multiple gamma function, its \(q\)- and elliptic analogue.

Cites Work

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• On representations of the elliptic quantum group \(E_ \tau,\eta(sl_ 2)\)
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• Multiparametric quantum deformation of the general linear supergroup
• An elliptic quantum algebra for \(\widehat{\text{sl}}_ 2\)
• Free field representation for massive integrable models
• On contiguity relations of Jackson's basic hypergeometric series \(\Upsilon_ 1(a;b;c;x,y,1/2)\) and its generalizations
• Contiguity relations for \(q\)-hypergeometric function and related quantum group
• First order analytic difference equations and integrable quantum systems
• Quantum KZ equation with |q| = 1 and correlation functions of theXXZmodel in the gapless regime
• A QUANTUM ANALOGUE OF THE HYPERGEOMETRIC SYSTEM E3,6

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