Some generating functions for the associated Askey-Wilson polynomials

DOI10.1016/0377-0427(95)00249-9zbMath0861.33015OpenAlexW1976563052MaRDI QIDQ1919455

Mizan Rahman

Publication date: 11 May 1997

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(95)00249-9

zbMATH Keywords

Askey-Wilson polynomial

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 (5)

𝑞-Bessel functions and Rogers-Ramanujan type identities ⋮ Utility of integral representations for basic hypergeometric functions and orthogonal polynomials ⋮ Diophantine properties of orthogonal polynomials and rational functions ⋮ Unnamed Item ⋮ An Eigenvalue Problem for the Associated Askey–Wilson Polynomials

Cites Work

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• Asymptotic and generating relations for the q-Jacobi and //\(4Phi_ 3\) polynomials
• Two Families of Associated Wilson Polynomials
• Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials
• Explicit Formulas for the Associated Jacobi Polynomials and Some Applications
• The Associated Ultraspherical Polynomials and their _q-Analogues
• The Associated Askey-Wilson Polynomials

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