Mehler-Heine type formulas for the Krawtchouk polynomials

被引：1

作者：

Dominici, Diego ^{[1
,2
]}

机构：

[1] Johannes Kepler Univ Linz, Doktoratskolleg Computat Math, Altenberger Str 69, A-4040 Linz, Austria

[2] SUNY Coll New Paltz, Dept Math, 1 Hawk Dr, New Paltz, NY 12561 USA

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2020年 / 486卷 / 10期

关键词：

Mehler-Heine formulas; Discrete orthogonal polynomials; INTEGRAL ZEROS; MEIXNER; ASYMPTOTICS; CHARLIER; BOUNDS; CODES;

D O I：

10.1016/j.jmaa.2020.123877

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We derive Mehler-Heine type asymptotic expansions for the Krawtchouk polynomials K-n (x; p, N) with n = O(N) and x = o(N). These formulas provide good approximations for K-n (x; p, N) and determine the asymptotic limit of their zeros as n -> infinity. (C) 2020 Elsevier Inc. All rights reserved.

引用

页数：25

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