A note on asymptotic zero distribution of orthogonal polynomials

被引：2

作者：

Trench, WF ^{[1
]}

机构：

[1] Trinity Univ, San Antonio, TX 78212 USA

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2003年 / 375卷

关键词：

absolutely equally distributed; equally distributed; orthogonal polynomials; zero distribution;

D O I：

10.1016/S0024-3795(03)00657-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We strengthen a theorem of Kuijlaars and Serra Capizzano on the distribution of zeros of a sequence of orthogonal polynomials {p(n)}(n=1)(infinity) for which the coefficients in the three term recurrence relation are clustered at finite points. The proof uses a matrix argument motivated by a theorem of Tyrtyshnikov. (C) 2003 Elsevier Inc. All rights reserved.

引用

页码：275 / 281

页数：7

共 16 条

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