A quantum algebra approach to basic multivariable special functions

DOI10.1088/0305-4470/27/20/016zbMath0864.33017OpenAlexW2092195484MaRDI QIDQ4874993

Luc Vinet, Luc Lapointe, Roberto Floreanini

Publication date: 10 June 1997

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/27/20/016

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Basic hypergeometric integrals and functions defined by them (33D60) Connections of basic hypergeometric functions with quantum groups, Chevalley groups, (p)-adic groups, Hecke algebras, and related topics (33D80)

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A q-deformed e(4) and continuous q-Jacobi polynomials ⋮ \(q\)-gamma and \(q\)-beta functions in quantum algebra representation theory ⋮ Quantum symmetries of q-difference equations ⋮ A model for the continuous q-ultraspherical polynomials ⋮ ( R , p , q ) -deformed quantum algebras: Coherent states and special functions ⋮ ( q , μ ) and (p,q,ζ)-exponential functions: Rogers–Szegő polynomials and Fourier–Gauss transform

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