Mellin transforms for some families of \(q\)-polynomials

DOI10.1016/S0377-0427(02)00638-6zbMath1020.44007OpenAlexW1507594425MaRDI QIDQ1874138

Yanyan Li

Publication date: 22 May 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(02)00638-6

zbMATH Keywords

gamma function\(q\)-Laguerre polynomials\(q\)-Hahn polynomials\(q\)-Legendre polynomials\(q\)-Hermite II polynomialsAl-Salam-Carlitz II polynomialsbig Jacobi polynomialsMellin integral transforms

Mathematics Subject Classification ID

Integral transforms of special functions (44A20) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) (q)-gamma functions, (q)-beta functions and integrals (33D05)

Related Items (1)

On the quantum theory of the natural transform and some applications

Cites Work

• A \(q\)-analogue of the Euler gamma integral
• Ramanujan's Extensions of the Gamma and Beta Functions
• Theq-Gamma andq-Beta Functions†
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