On the Limit from q-Racah Polynomials to Big q-Jacobi Polynomials

被引：6

作者：

Koornwinder, Tom H. ^{[1
]}

机构：

[1] Univ Amsterdam, Korteweg de Vries Inst, NL-1090 GE Amsterdam, Netherlands

来源：

SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS | 2011年 / 7卷

关键词：

Askey scheme; q-Askey scheme; q-Racah polynomials; big q-Jacobi polynomials; multi-parameter limit;

D O I：

10.3842/SIGMA.2011.040

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A limit formula from q-Racah polynomials to big q-Jacobi polynomials is given which can be considered as a limit formula for orthogonal polynomials. This is extended to a multi-parameter limit with 3 parameters, also involving (q-)Hahn polynomials, little q-Jacobi polynomials and Jacobi polynomials. Also the limits from Askey-Wilson to Wilson polynomials and from q-Racah to Racah polynomials are given in a more conceptual way.

引用

页数：8