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Open AccessArticle

Terminating Basic Hypergeometric Representations and Transformations for the Askey–Wilson Polynomials

by Howard S. Cohl 1,*,†, Roberto S. Costas-Santos 2,† and Linus Ge 3,†
1
Applied and Computational Mathematics Division, National Institute of Standards and Technology, Mission Viejo, CA 92694, USA
2
Departamento de Física y Matemáticas, Universidad de Alcalá, 28871 Alcalá de Henares, Spain
3
Department of Mathematics, University of Rochester, Rochester, NY 14627, USA
*
Author to whom correspondence should be addressed.
These authors contributed equally to this work.
Symmetry 2020, 12(8), 1290; https://doi.org/10.3390/sym12081290
Received: 10 June 2020 / Revised: 14 July 2020 / Accepted: 14 July 2020 / Published: 3 August 2020
(This article belongs to the Special Issue Symmetry in Special Functions and Orthogonal Polynomials)
In this survey paper, we exhaustively explore the terminating basic hypergeometric representations of the Askey–Wilson polynomials and the corresponding terminating basic hypergeometric transformations that these polynomials satisfy. View Full-Text
Keywords: basic hypergeometric series; basic hypergeometric orthogonal polynomials; basic hypergeometric transformations basic hypergeometric series; basic hypergeometric orthogonal polynomials; basic hypergeometric transformations
MDPI and ACS Style

Cohl, H.S.; Costas-Santos, R.S.; Ge, L. Terminating Basic Hypergeometric Representations and Transformations for the Askey–Wilson Polynomials. Symmetry 2020, 12, 1290.

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