A difference-integral representation of Koornwinder polynomials
| dc.creator | Rains, Eric M. | |
| dc.date | 2004-09-22 | |
| dc.date.accessioned | 2026-07-07T05:12:29Z | |
| dc.date.available | 2026-07-07T05:12:29Z | |
| dc.description | We construct new families of (q-) difference and (contour) integral operators having nice actions on Koornwinder's multivariate orthogonal polynomials. We further show that the Koornwinder polynomials can be constructed by suitable sequences of these operators applied to the constant polynomial 1, giving the difference-integral representation of the title. Macdonald's conjectures (as proved by van Diejen and Sahi) for the principal specialization and norm follow immediately, as does a Cauchy-type identity of Mimachi. | |
| dc.description | 15 pages AMSLaTeX. To appear in proceedings of the Workshop on Jack, Hall-Littlewood and Macdonald polynomials (September 2003, ICMS) | |
| dc.identifier | https://arxiv.org/abs/math/0409437 | |
| dc.identifier | http://arxiv.org/abs/math/0409437 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/72594 | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | Combinatorics | |
| dc.subject | Quantum Algebra | |
| dc.subject | 33D52 (05E35) | |
| dc.title | A difference-integral representation of Koornwinder polynomials | |
| dc.type | text |