On BC type basic hypergeometric orthogonal polynomials
| dc.creator | Stokman, Jasper V. | |
| dc.date | 1997-07-03 | |
| dc.date.accessioned | 2026-07-07T09:17:37Z | |
| dc.date.available | 2026-07-07T09:17:37Z | |
| dc.description | The five parameter family of multivariable Askey-Wilson polynomials is studied with four parameters generically complex. The multivariable Askey-Wilson polynomials form an orthogonal system with respect to an explicit (in general complex) measure. A partially discrete orthogonality measure is obtained by shifting the contour to the torus while picking up residues. A parameter domain is given for which the partially discrete orthogonality measure is positive. The orthogonality relations and norm evaluations for multivariable q-Racah polynomials and multivariable big and little q-Jacobi polynomials are proved by taking suitable limits in the orthogonality relations for the multivariable Askey-Wilson polynomials. In particular new proofs of several well known q-analogues of the Selberg integral are obtained. | |
| dc.description | AMS-LaTeX v1.2, 53 pages, no figures | |
| dc.identifier | https://arxiv.org/abs/q-alg/9707005 | |
| dc.identifier | http://arxiv.org/abs/q-alg/9707005 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/153732 | |
| dc.subject | Quantum Algebra | |
| dc.subject | 33D45 (Primary) 33D25 (Secondary) | |
| dc.title | On BC type basic hypergeometric orthogonal polynomials | |
| dc.type | text |