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

Howard S Cohl; Roberto S Costas-Santos; Linus Ge

doi:10.3390/sym12081290

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

Symmetry (Basel). 2020;12(8):10.3390/sym12081290. doi: 10.3390/sym12081290.

Authors

Howard S Cohl¹, Roberto S Costas-Santos², Linus Ge³

Affiliations

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.

Abstract

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.

Keywords: basic hypergeometric orthogonal polynomials; basic hypergeometric series; basic hypergeometric transformations.

Grants and funding

9999-NIST/ImNIST/Intramural NIST DOC/United States