An asymptotic formula for the Koornwinder polynomials

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摘要

A formula for the large-degree asymptotics of Koornwinder's multivariate Askey–Wilson polynomials is presented. In the special case of a single variable, this asymptotic formula agrees with the known leading asymptotics of the Askey–Wilson polynomials determined by Ismail and Wilson.

论文关键词：(Multivariate) Orthogonal Polynomials,Asymptotics,33D45,33D52,41A60

论文评审过程：Received 25 October 2003, Revised 22 April 2004, Available online 19 October 2004.

论文官网地址：https://doi.org/10.1016/j.cam.2004.04.018