A characterization of continuous \(q\)-Jacobi, Chebyshev of the first kind and Al-Salam chihara polynomials

DOI10.1016/J.JMAA.2022.126358zbMath1493.33019arXiv2109.06147OpenAlexW3200769246MaRDI QIDQ2147849

J. Petronilho, Kenier Castillo, D. Mbouna

Publication date: 20 June 2022

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.06147

zbMATH Keywords

Askey-Wilson operatorChebyshev polynomials of the first kindAl-Salam-Chihara polynomialscontinuous q-Jacobi polynomials

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)

Related Items (6)

On another characterization of Askey-Wilson polynomials ⋮ On the functional equation for classical orthogonal polynomials on lattices ⋮ Remarks on Askey-Wilson polynomials and Meixner polynomials of the second kind ⋮ A structure relation for some orthogonal polynomials ⋮ A counterexample to a conjecture of M. Ismail ⋮ On an orthogonal polynomial sequence and its recurrence coefficients

Cites Work

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• A generalization of a theorem of Bochner
• A characterization of the Rogers \(q\)-Hermite polynomials
• The structure relation for Askey-Wilson polynomials
• Characterization theorem for classical orthogonal polynomials on non-uniform lattices: the functional approach
• A characterization of Askey-Wilson polynomials
• Another Characterization of the Classical Orthogonal Polynomials

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