Parameter shifts,D4symmetry and joint eigenfunctions for commuting Askey–Wilson-type difference operators

DOI10.1088/0305-4470/37/2/016zbMath1048.39014OpenAlexW2134209501MaRDI QIDQ4469940

Simon N. M. Ruijsenaars

Publication date: 22 June 2004

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

Full work available at URL: https://doi.org/10.1088/0305-4470/37/2/016

zbMATH Keywords

hyperbolic functionsgeneralized hypergeometric functioneigenfunctionhyperbolic Askey-Wilson difference operators

Mathematics Subject Classification ID

Difference operators (39A70) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) (q)-gamma functions, (q)-beta functions and integrals (33D05)

Related Items (3)

Quadratic transformations for a function that generalizes \(_{2}F_{1}\) and the Askey-Wilson polynomials ⋮ On the Nevanlinna Order of Meromorphic Solutions to Linear Analytic Difference Equations ⋮ A relativistic hypergeometric function

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