The Askey-Wilson function transform scheme
| dc.creator | Koelink, Erik | |
| dc.creator | Stokman, Jasper V. | |
| dc.date | 1999-12-17 | |
| dc.date | 1999-12-23 | |
| dc.date.accessioned | 2026-07-07T05:32:20Z | |
| dc.date.available | 2026-07-07T05:32:20Z | |
| dc.description | In this paper we present an addition to Askey's scheme of q-hypergeometric orthogonal polynomials involving classes of q-special functions which do not consist of polynomials only. The special functions are q-analogues of the Jacobi and Bessel function, and are Askey-Wilson functions, big q-Jacobi functions and little q-Jacobi functions and the corrresponding q-Bessel functions. The generalised orthogonality relations and the second order q-difference equations for these families are given. Limit transitions between these families are discussed. The quantum group theoretic interpretations are discussed shortly. | |
| dc.description | 17 pages, 2 figures, AMS-TeX Some formulas corrected, reference updated | |
| dc.identifier | https://arxiv.org/abs/math/9912140 | |
| dc.identifier | http://arxiv.org/abs/math/9912140 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/79625 | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | Quantum Algebra | |
| dc.subject | 33D15, 33D45 (Primary) 33D80 (Secondary) | |
| dc.title | The Askey-Wilson function transform scheme | |
| dc.type | text |