On the \(q\)-translation associated with the Askey-Wilson operator

DOI10.1186/1687-1847-2012-87zbMath1293.33021OpenAlexW2141740029WikidataQ59289263 ScholiaQ59289263MaRDI QIDQ2448051

Fethi Bouzaffour

Publication date: 29 April 2014

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1847-2012-87

zbMATH Keywords

basic hypergeometric integralsbasic orthogonal polynomials and functions

Mathematics Subject Classification ID

Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) Basic hypergeometric integrals and functions defined by them (33D60)

Related Items (1)

A \(q\)-translation approach to Liu's calculus

Cites Work

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• Basic analog of Fourier series on a \(q\)-quadratic grid
• Diagonalization of certain integral operators
• An operator calculus for the Askey-Wilson operator
• A 𝑞-analogue of the Whittaker-Shannon-Kotel’nikov sampling theorem
• Orthogonality and completeness of \(q\)-Fourier type systems

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