Asymptotics for Menage polynomials and certain hypergeometric polynomials of type 3F1

JOURNAL OF APPROXIMATION THEORY

卷:164

Article

Neuschel, Thorsten

关键词: Strong asymptotics;    Weak asymptotics;    Asymptotic distribution of zeros;    Menage problem;    Menage polynomials;    Hypergeometric polynomials;   

DOI  :  10.1016/j.jat.2012.04.001

来源: Elsevier

【 摘 要 】

Using a uniform version of Laplace's method, strong asymptotics for suitably normalized Menage polynomials and certain hypergeometric polynomials of type F-3(1) are established. Moreover, weak asymptotics and further properties of the zeros are derived. (C) 2012 Elsevier Inc. All rights reserved.

【 授权许可】

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