Some limit relations in the A1 tableau of Dunkl-Cherednik operators |
| |
| Authors: | Renato Alvarez-Nodarse |
| |
| Institution: | a Departamento de Análisis Matemático, Universidad de Sevilla, Apdo. 1160, 41080, Sevilla, Spain;b Instituto Carlos I de Fisica Teórica y Computacional, Universidad de Granada, E-18071, Granada, Spain |
| |
| Abstract: | 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. |
| |
| Keywords: | Author Keywords: q-polynomials root systems Dunkl-Cherednik operators hypergeometric functions basic hypergeometric series |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
