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 |
| Published: |
Hindawi Limited
1995-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171295000810 |
| Summary: | 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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| ISSN: | 0161-1712 1687-0425 |