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.
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| Format: | Article |
| Language: | English |
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Wiley
1995-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171295000810 |
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| _version_ | 1832559757686210560 |
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| author | Waleed A. Al-Salam |
| author_facet | Waleed A. Al-Salam |
| author_sort | Waleed A. Al-Salam |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-3dd59591bc964b5da30acabf2fdb6430 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1995-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-3dd59591bc964b5da30acabf2fdb64302025-02-03T01:29:16ZengWileyInternational 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. |
| 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. |
| title | 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_short | A characterization of the Rogers q-hermite polynomials |
| title_sort | characterization of the rogers q hermite polynomials |
| 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 |