\(q\)-analogue of the Watanabe unitary transform associated to the \(q\)-continuous Gegenbauer polynomials

DOI10.1023/A:1011076027510zbMath0991.33009MaRDI QIDQ5928847

Abderrahman Essadiq

Publication date: 24 August 2002

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

\(q\)-continuous Gegenbauer polynomialsWatanabe integral transform

Mathematics Subject Classification ID

Integral operators (45P05) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) (q)-gamma functions, (q)-beta functions and integrals (33D05)

Related Items (1)

Symmetric pairs, Gelfand pairs and pairs such that generating functions of zonal spherical functions define unitary operators -- the case of the compact type

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