Companion orthogonal polynomials: some applications

被引:15
作者
Berti, AC
Ranga, AS
机构
[1] Univ Sao Paulo, SCE, ICMC, BR-13560970 Sao Carlos, SP, Brazil
[2] Univ Estadual Paulista, UNESP, DCCE, IBILCE, BR-15054000 Sao Jose Do Rio Preto, SP, Brazil
基金
巴西圣保罗研究基金会;
关键词
D O I
10.1016/S0168-9274(01)00046-0
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper the recurrence relations of symmetric orthogonal polynomials whose measures are related to each other in a certain way are considered. Many of the relations satisfied by the coefficients of the recurrence relations are exposed. The results are applied to obtain, for example, information regarding certain Sobolev orthogonal polynomials and regarding the measures of certain orthogonal polynomial sequences with twin periodic recurrence coefficients. (C) 2001 IMACS. Published by Elsevier Science B.V. All rights reserved.
引用
收藏
页码:127 / 149
页数:23
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