Supplement to Neuschel's paper "Asymptotics for Ménage polynomials and certain hypergeometric polynomials of type ₃ F₁"

2018/12/14 by Shotaro Nakai, Nakai, Shotaro, Hideshi Yamane +1
Engineering · Mathematics · #33C20 #34E10 #Advanced Numerical Analysis Techniques #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical functions and polynomials #Meromorphic and Entire Functions #math.CA #msc:33C20 #msc:34E10

paper · pdf · doi:10.48550/arxiv.1812.05797

6 pages, 1 figure

arxiv created 2018/12/14 · openalex publication_date 2018/12/14 · arxiv updated 2018/12/17 · openalex created_date 2018/12/22 · openalex updated_date 2026/07/28

Abstract

In an article that appeared in Journal of Approximation Theory, Neuschel investigated the asymptotic expansion of certain hypergeometric polynomials of type ₃ F₁ inside and outside a closed curve. We supplement this result by studying a subfamily of those polynomials on a part of the closed curve.

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