Cohl, H.
, Costas-Santos, R.
and Ge, L.
(2020),
Terminating basic hypergeometric representations and transformations for the Askey-Wilson polynomials, Symmetry, [online], https://doi.org/10.3390/sym12081290
(Accessed April 25, 2024)
Official websites use .gov
A .gov website belongs to an official government organization in the United States.
Secure .gov websites use HTTPS
A lock (
) or https:// means you’ve safely connected to the .gov website. Share sensitive information only on official, secure websites.
Terminating basic hypergeometric representations and transformations for the Askey-Wilson polynomials
Published
Author(s)
, Roberto Costas-Santos, Linus Ge
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. From the terminating basic hypergeometric representations of these polynomials, and due to symmetry in their free parameters, we are able to exhaustively explore the terminating basic hypergeometric transformation formulae which these polynomials satisfy.Citation
Symmetry
Volume
12
Issue
8
Pub Type
Journals
Download Paper
Keywords
Basic hypergeometric series, Basic hypergeometric orthogonal polynomials, Basic hypergeometric transformations
Citation
Created August 2, 2020, Updated October 8, 2020