A characterization of the Rogers q-hermite polynomials

A characterization of the Rogers q-hermite polynomials

In this paper we characterize the Rogers q-Hermite polynomials as the only orthogonal polynomial set which is also 𝒟q-Appell where 𝒟q is the Askey-Wilson finite difference operator.

Bibliographic Details
Main Author: Waleed A. Al-Salam
Format: Article
Language:English
Published: Hindawi Limited 1995-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
orthogonal polynomials
generating functions
Askey-Wilson operator.
Online Access:http://dx.doi.org/10.1155/S0161171295000810
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spelling doaj-3dd59591bc964b5da30acabf2fdb64302020-11-24T23:09:04ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251995-01-0118464164710.1155/S0161171295000810A characterization of the Rogers q-hermite polynomialsWaleed A. Al-Salam0Department of Mathematics, University of Alberta, Edmonton T6G 2G1, CanadaIn this paper we characterize the Rogers q-Hermite polynomials as the only orthogonal polynomial set which is also 𝒟q-Appell where 𝒟q is the Askey-Wilson finite difference operator.http://dx.doi.org/10.1155/S0161171295000810orthogonal polynomialsgenerating functionsAskey-Wilson operator.
collection DOAJ
language English
format Article
sources DOAJ
author Waleed A. Al-Salam
spellingShingle Waleed A. Al-Salam
A characterization of the Rogers q-hermite polynomials
International Journal of Mathematics and Mathematical Sciences
orthogonal polynomials
generating functions
Askey-Wilson operator.
author_facet Waleed A. Al-Salam
author_sort Waleed A. Al-Salam
title A characterization of the Rogers q-hermite polynomials
title_short A characterization of the Rogers q-hermite polynomials
title_full A characterization of the Rogers q-hermite polynomials
title_fullStr A characterization of the Rogers q-hermite polynomials
title_full_unstemmed A characterization of the Rogers q-hermite polynomials
title_sort characterization of the rogers q-hermite polynomials
publisher Hindawi Limited
series International Journal of Mathematics and Mathematical Sciences
issn 0161-1712
1687-0425
publishDate 1995-01-01
description In this paper we characterize the Rogers q-Hermite polynomials as the only orthogonal polynomial set which is also 𝒟q-Appell where 𝒟q is the Askey-Wilson finite difference operator.
topic orthogonal polynomials
generating functions
Askey-Wilson operator.
url http://dx.doi.org/10.1155/S0161171295000810
work_keys_str_mv AT waleedaalsalam acharacterizationoftherogersqhermitepolynomials
AT waleedaalsalam characterizationoftherogersqhermitepolynomials
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