Symmetry of terminating basic hypergeometric series representations of the Askey-Wilson polynomials

DOI10.1016/j.jmaa.2022.126583OpenAlexW4292550536MaRDI QIDQ2674320

Howard S. Cohl, Roberto S. Costas-Santos

Publication date: 23 September 2022

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

Full work available at URL: https://arxiv.org/abs/2202.08911

zbMATH Keywords

basic hypergeometric seriesbasic hypergeometric orthogonal polynomialsbasic hypergeometric transformations

Mathematics Subject Classification ID

Basic hypergeometric functions (33Dxx) Special functions (33-XX) Hypergeometric functions (33Cxx)

Uses Software

• DLMF

Cites Work

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• Arithmetic of linear forms involving odd zeta values
• Basic hypergeometric functions as limits of elliptic hypergeometric functions
• Summation and transformation formulas for elliptic hypergeometric series.
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• Hypergeometric heritage of W. N. Bailey
• Symmetry groups of Bailey's transformations for \(_{10}\phi _{9}\)-series
• Symmetry groups of \(A_{n}\) hypergeometric series
• A Taylor expansion theorem for an elliptic extension of the Askey-Wilson operator
• Hypergeometric Orthogonal Polynomials and Their q-Analogues
• An integral Representation of a ₁₀ϕ₉ and Continuous Bi-Orthogonal ₁₀ϕ₉ Rational Functions
• Group theoretical basis of some identities for the generalized hypergeometric series
• Invariance groups of transformations of basic hypergeometric series
• Theta hypergeometric integrals

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