Terminating Basic Hypergeometric Representations and Transformations for the Askey-Wilson 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.

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Bibliographic Details
Published inSymmetry (Basel) Vol. 12; no. 8; p. 1290
Main Authors Cohl, Howard S, Costas-Santos, Roberto S, Ge, Linus
Format Journal Article
LanguageEnglish
Published Switzerland MDPI AG 01.01.2020
Subjects
basic hypergeometric orthogonal polynomials
basic hypergeometric series
basic hypergeometric transformations
Calculus
Conventions
Mathematical analysis
Polynomials
Symmetry
Theorems
basic hypergeometric transformations
basic hypergeometric series
basic hypergeometric orthogonal polynomials
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Summary: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.
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Author Contributions: H.S.C., R.S.C.-S. and L.G. conceived the mathematics; H.S.C., R.S.C.-S. and L.G. wrote the paper. All authors have read and agreed to the published version of the manuscript.
These authors contributed equally to this work.
ISSN:2073-8994
2073-8994
DOI:10.3390/sym12081290