Asymptotics for multiple Meixner polynomials

被引：9

作者：

Aptekarev, A. ^{[1
]}

Arvesu, J. ^{[2
]}

机构：

[1] Russian Acad Sci, MV Keldysh Appl Math Inst, Moscow 125047, Russia

[2] Univ Carlos III Madrid, Dept Math, Madrid 28911, Spain

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2014年 / 411卷 / 02期

关键词：

Discrete orthogonal polynomials; Multiple orthogonal polynomials; nth-root asymptotics; Recurrence relations; Vector equilibrium with external field and; constraint; HERMITE-PADE APPROXIMANTS; ORTHOGONAL POLYNOMIALS;

D O I：

10.1016/j.jmaa.2013.09.057

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the asymptotic behavior of multiple Meixner polynomials of first and second kind, respectively [6]. We use an algebraic function formulation for the solution of the equilibrium problem with constraint to describe their zero distribution. Moreover, analyzing the limiting behavior of the coefficients of the recurrence relations for Multiple Meixner polynomials we obtain the main term of their asymptotics. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：485 / 505

页数：21

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