A characterization of the Rogers \(q\)-Hermite polynomials

DOI10.1155/S0161171295000810zbMath0835.33012arXivmath/9402212OpenAlexW1987901825MaRDI QIDQ1902909

Waleed A. Al-Salam

Publication date: 26 March 1996

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9402212

zbMATH Keywords

difference operatorCharlier polynomials

Mathematics Subject Classification ID

(q)-gamma functions, (q)-beta functions and integrals (33D05) Other basic hypergeometric functions and integrals in several variables (33D70) Completeness of sets of functions in one variable harmonic analysis (42A65)

Related Items (9)

A characterization of continuous \(q\)-Jacobi, Chebyshev of the first kind and Al-Salam chihara polynomials ⋮ On another characterization of Askey-Wilson polynomials ⋮ Remarks on Askey-Wilson polynomials and Meixner polynomials of the second kind ⋮ A characterization of an Askey–Wilson difference equation ⋮ A structure relation for some orthogonal polynomials ⋮ On Carlitz's trilinear generating functions ⋮ A characterization of ultraspherical, Hermite, and Chebyshev polynomials of the first kind ⋮ Unnamed Item ⋮ A stochastic characterization of Hermite polynomials

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