A characterization of an Askey–Wilson difference equation

DOI10.1080/10236198.2014.924930zbMath1302.33016OpenAlexW2159669364MaRDI QIDQ2926507

Daniel J. Galiffa, Boon-Wee Ong

Publication date: 24 October 2014

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236198.2014.924930

zbMATH Keywords

Chebyshev polynomials\(q\)-series\(q\)-difference equations\(q\)-orthogonal polynomialsAskey-Wilson operator

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) Other special orthogonal polynomials and functions (33C47)

Cites Work

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• A characterization of some \(q\)-orthogonal polynomials
• \(q\)-classical orthogonal polynomials: A general difference calculus approach
• Diagonalization of certain integral operators
• A characterization of the Rogers \(q\)-Hermite polynomials
• The Askey–Wilson polynomials and q-Sturm–Liouville problems
• Another Characterization of the Classical Orthogonal Polynomials

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