Some limit relations in the A1 tableau of Dunkl-Cherednik operators
In this paper we study some limit relations involving some q-special functions related with the A1 (root system) tableau of Dunkl-Cherednik operators. Concretely we consider the limits involving the nonsymmetric q-ultraspherical polynomials (q-Rogers polynomials), ultraspherical polynomials (Gegenba...
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| Tipo de recurso: | artículo |
| Estado: | Versión enviada para evaluación y publicación |
| Fecha de publicación: | 2003 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/41721 |
| Acceso en línea: | http://hdl.handle.net/11441/41721 https://doi.org/10.1016/S0019-3577(03)90047-4 |
| Access Level: | acceso abierto |
| Palabra clave: | q-polynomials root systems Dunkl-Cherednik operators hypergeometric functions basic hypergeometric series |
| Sumario: | In this paper we study some limit relations involving some q-special functions related with the A1 (root system) tableau of Dunkl-Cherednik operators. Concretely we consider the limits involving the nonsymmetric q-ultraspherical polynomials (q-Rogers polynomials), ultraspherical polynomials (Gegenbauer polynomials), q-Hermite and Hermite polynomials. |
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