Raising and Lowering Operators for Askey-Wilson Polynomials
| dc.creator | Sahi, Siddhartha | |
| dc.date | 2007-01-04 | |
| dc.date.accessioned | 2026-07-07T09:34:34Z | |
| dc.date.available | 2026-07-07T09:34:34Z | |
| dc.description | In this paper we describe two pairs of raising/lowering operators for Askey-Wilson polynomials, which result from constructions involving very different techniques. The first technique is quite elementary, and depends only on the ''classical'' properties of these polynomials, viz. the q-difference equation and the three term recurrence. The second technique is less elementary, and involves the one-variable version of the double affine Hecke algebra. | |
| dc.description | This is a contribution to the Vadim Kuznetsov Memorial Issue on Integrable Systems and Related Topics, published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/ | |
| dc.identifier | https://arxiv.org/abs/math/0701134 | |
| dc.identifier | http://arxiv.org/abs/math/0701134 | |
| dc.identifier | SIGMA 3 (2007), 002, 11 pages | |
| dc.identifier | doi:10.3842/SIGMA.2007.002 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/159538 | |
| dc.subject | Quantum Algebra | |
| dc.subject | Mathematical Physics | |
| dc.title | Raising and Lowering Operators for Askey-Wilson Polynomials | |
| dc.type | text |