An Alternative Definition of the Hermite Polynomials Related to the Dunkl Laplacian
We introduce the so-called Clifford-Hermite polynomials in the framework of Dunkl operators, based on the theory of Clifford analysis. Several properties of these polynomials are obtained, such as a Rodrigues formula, a differential equation and an explicit relation connecting them with the generali...
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| Format: | Artigo |
| Język: | Inglês |
| Wydane: |
National Academy of Science of Ukraine
2008-12-01
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| Seria: | Symmetry, Integrability and Geometry: Methods and Applications |
| Hasła przedmiotowe: | |
| Dostęp online: | http://dx.doi.org/10.3842/SIGMA.2008.093 |
| Etykiety: |
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