A Bochner Theorem for Dunkl Polynomials
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
A Bochner Theorem for Dunkl Polynomials
|
|
| Creator |
Vinet, L.
Zhedanov, A. |
|
| Description |
We establish an analogue of the Bochner theorem for first order operators of Dunkl type, that is we classify all such operators having polynomial solutions. Under natural conditions it is seen that the only families of orthogonal polynomials in this category are limits of little and big q-Jacobi polynomials as q=−1.
|
|
| Date |
2019-02-11T15:24:30Z
2019-02-11T15:24:30Z 2011 |
|
| Type |
Article
|
|
| Identifier |
A Bochner Theorem for Dunkl Polynomials / L. Vinet, A. Zhedanov // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 16 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 33C45; 33C47; 42C05 DOI:10.3842/SIGMA.2011.020 http://dspace.nbuv.gov.ua/handle/123456789/146799 |
|
| Language |
en
|
|
| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
|
|
| Publisher |
Інститут математики НАН України
|
|