\(U_{r,s}(\mathfrak{gl}_{4})\)-symmetry for \((r,s)\)-hypergeometric series.

DOI10.1016/S0377-0427(03)00625-3zbMath1043.33010OpenAlexW2006041033MaRDI QIDQ1414343

Michitomo Nishizawa

Publication date: 20 November 2003

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0377-0427(03)00625-3

zbMATH Keywords

(r,s)-hypergeometric seriesContiguous relationsTwo-parameter quantum group

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) Bibasic functions and multiple bases (33D65)

Related Items (2)

Representations of two parameter quantum algebras and \(p,q\)-special functions ⋮ A \((p, q)\)-analog of poly-Euler polynomials and some related polynomials

Cites Work

• A two-parameter quantization of GL(n)
• Contiguity relations for \(q\)-hypergeometric function and related quantum group
• Multiparameter quantum groups and twisted quasitriangular Hopf algebras
• General gamma functions, exponentials, and hypergeometric functions
• A note on (p, q)-oscillators and bibasic hypergeometric functions
• P,Q-differentiation, P,Q-integration, and P,Q-hypergeometric functions related to quantum groups
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