Contiguity relations for \(q\)-hypergeometric function and related quantum group

DOI10.3792/pjaa.68.157zbMath0776.33010OpenAlexW2092732022MaRDI QIDQ1803562

Eiji Horikawa

Publication date: 29 June 1993

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.68.157

zbMATH Keywords

hypergeometric seriesLie algebracontiguous function

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Connections of basic hypergeometric functions with quantum groups, Chevalley groups, (p)-adic groups, Hecke algebras, and related topics (33D80)

Related Items (4)

Equations and series of hypergeometric type ⋮ \(U_{r,s}(\mathfrak{gl}_{4})\)-symmetry for \((r,s)\)-hypergeometric series. ⋮ Noncommutative Hypergeometric and Basic Hypergeometric Equations ⋮ On a solution of a \(q\)-difference analogue of Lauricella's \(D\)-type hypergeometric equation with \(|q|=1\)

Cites Work

• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
• Hypergeometric functions and toric varieties
• Canonical Equations and Symmetry Techniques forq-Series
• Lie Theory and Generalizations of the Hypergeometric Functions
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