Szego polynomials: some relations to L-orthogonal and orthogonal polynomials

被引：8

作者：

Bracciali, CF ^{[1
]}

da Silva, AP ^{[1
]}

Ranga, AS ^{[1
]}

机构：

[1] Univ Estadual Paulista, Dept Ciencias Comp & Estatist, Inst Biociencias Letras & Ciencias Exatas, BR-15054000 Sao Jose do Rio Preto, SP, Brazil

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2003年 / 153卷 / 1-2期

基金：

巴西圣保罗研究基金会;

关键词：

Szego polynomials; chain sequences; three term recurrence relations;

D O I：

10.1016/S0377-0427(02)00605-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the real Szego polynomials and obtain some relations to certain self inversive orthogonal L-polynomials defined on the unit circle and corresponding symmetric orthogonal polynomials on real intervals. We also consider the polynomials obtained when the coefficients in the recurrence relations satisfied by the self inversive orthogonal L-polynomials are rotated. (C) 2002 Elsevier Science B.V. All rights reserved.

引用

页码：79 / 88

页数：10

共 12 条

[1]

[Anonymous], 1975, AM MATH SOC C PUBLIC

[2]

[Anonymous], 1997, SPECIAL FUNCTIONS Q

[3] Companion orthogonal polynomials: some applications [J].