Uniform asymptotic expansions of the Pollaczek polynomials

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摘要

Two uniform asymptotic expansions are obtained for the Pollaczek polynomials Pn(cosθ;a,b). One is for θ∈(0,δ/n], 0<δ

论文关键词：41A60,33C47,Pollaczek polynomials,Uniform asymptotic expansion,Parabolic cylinder function,Airy function

论文评审过程：Received 30 September 2004, Revised 9 January 2005, Available online 1 June 2005.

论文官网地址：https://doi.org/10.1016/j.cam.2005.01.049