Asymptotics of orthogonal polynomials inside the unit circle and Szego-Pade approximants

被引：0

作者：

Rolanía, DB

Lagomasino, GL

Saff, EB

机构：

[1] Univ Politecn Madrid, Fac Informat, Boadilla Del Monte 28660, Spain

[2] Univ Carlos III Madrid, Dept Matemat, Leganes 28911, Spain

[3] Univ S Florida, Dept Math, Tampa, FL 33620 USA

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2001年 / 133卷 / 1-2期

关键词：

orthogonal polynomials; Pade approximants; reflection coefficients;

D O I：

10.1016/S0377-0427(00)00678-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the asymptotic behavior of orthogonal polynomials inside the unit circle for a subclass of measures that satisfy Szego's condition. We give a connection between such behavior and a Montessus de Ballore-type theorem for Szego-Pade rational approximants of the corresponding Szego function. (C) 2001 Elsevier Science B.V. All rights reserved.

引用

页码：171 / 181

页数：11

共 8 条

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