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.
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页码：275 / 281
页数：7
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