Monotonicity of the zeros of orthogonal polynomials through related measures

被引：0
|
作者：
da Silva, AP
Ranga, AS
Vazquez, TG
机构：
[1] Univ Estadual Paulista, IBILCE, DCCE, UNESP, BR-15054000 Sao Jose Do Rio Preto, SP, Brazil
[2] Univ Sao Paulo, ICMC, SCE, BR-13560970 Sao Carlos, SP, Brazil
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2005年 / 307卷 / 02期
基金：
巴西圣保罗研究基金会;
关键词：
orthogonal polynomials; related measures; three term recurrence relations;
D O I：
10.1016/j.jmaa.2005.03.028
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Relation between two sequences of orthogonal polynomials, where the associated measures are related to each other by a first degree polynomial multiplication (or division), is well known. We use this relation to study the monotonicity properties of the zeros of generalized orthogonal polynomials. As examples, the Jacobi, Laguerre and Charlier polynomials are considered. (c) 2005 Elsevier Inc. All rights reserved.
引用
收藏
页码：699 / 709
页数：11
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