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

Symmetry Integrability and Geometry-Methods and Applications

article

Tom H. Koornwinder¹ 

[1] Korteweg-de Vries Institute, University of Amsterdam

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

DOI  :  10.3842/SIGMA.2011.040

来源: National Academy of Science of Ukraine

【 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.

【 授权许可】

Unknown