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періодичних видань НАН України
періодичних видань НАН України
An Alternative Definition of the Hermite Polynomials Related to the Dunkl Laplacian
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2008, том 4
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| dc.contributor.author | De Bie, H. | |
| dc.date.accessioned | 2019-02-16T16:20:44Z | |
| dc.date.available | 2019-02-16T16:20:44Z | |
| dc.date.issued | 2008 | |
| dc.identifier.citation | 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. | uk_UA |
| dc.identifier.issn | 1815-0659 | |
| dc.identifier.other | 2000 Mathematics Subject Classification: 33C80; 33C45; 30G35 | |
| dc.identifier.uri | http://dspace.nbuv.gov.ua/handle/123456789/147996 | |
| dc.description.abstract | 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. | uk_UA |
| dc.description.sponsorship | This paper is a contribution to the Special Issue on Dunkl Operators and Related Topics. The author is supported by a Ph.D. Fellowship of the the Research Foundation - Flanders (FWO). | uk_UA |
| dc.language.iso | en | uk_UA |
| dc.publisher | Інститут математики НАН України | uk_UA |
| dc.relation.ispartof | Symmetry, Integrability and Geometry: Methods and Applications | |
| dc.title | An Alternative Definition of the Hermite Polynomials Related to the Dunkl Laplacian | uk_UA |
| dc.type | Article | uk_UA |
| dc.status | published earlier | uk_UA |
