An Alternative Definition of the Hermite Polynomials Related to the Dunkl Laplacian
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
An Alternative Definition of the Hermite Polynomials Related to the Dunkl Laplacian
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| Creator |
De Bie, H.
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| Description |
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 generalized Laguerre polynomials. A link is established with the generalized Hermite polynomials related to the Dunkl operators (see [Rösler M., Comm. Math. Phys. 192 (1998), 519-542, q-alg/9703006.]) as well as with the basis of the weighted L2 space introduced by Dunkl.
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| Date |
2019-02-16T16:20:44Z
2019-02-16T16:20:44Z 2008 |
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| Type |
Article
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| Identifier |
An Alternative Definition of the Hermite Polynomials Related to the Dunkl Laplacian / H. De Bie // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 24 назв. — англ.
1815-0659 2000 Mathematics Subject Classification: 33C80; 33C45; 30G35 http://dspace.nbuv.gov.ua/handle/123456789/147996 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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