A CLASS OF ORTHOGONAL FUNCTIONS GIVEN BY A THREE TERM RECURRENCE FORMULA

被引：8

作者：

Bracciali, C. F. ^{[1
]}

McCabe, J. H. ^{[2
]}

Perez, T. E. ^{[3
]}

Ranga, A. Sri ^{[1
]}

机构：

[1] Univ Estadual Paulista, UNESP, IBILCE, Dept Matemat Aplicada, BR-15054000 Sao Jose Do Rio Preto, SP, Brazil

[2] Univ St Andrews, Sch Math, Dept Appl Math, St Andrews KY16 9AJ, Fife, Scotland

[3] Univ Granada, Dept Matemat Aplicada, E-18071 Granada, Spain

来源：

MATHEMATICS OF COMPUTATION | 2016年 / 85卷 / 300期

基金：

巴西圣保罗研究基金会;

关键词：

Orthogonal functions; self-inversive polynomials; three term recurrence; quadrature rules; orthogonal polynomials on the unit circle; UNIT-CIRCLE; POLYNOMIALS; ZEROS;

D O I：

10.1090/mcom3041

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present a class of functions satisfying a certain orthogonality property for which there also exists a three term recurrence formula. This class of functions, which can be considered as an extension to the class of symmetric orthogonal polynomials on [- 1, 1], has a complete connection to the orthogonal polynomials on the unit circle. Interpolatory properties, quadrature rules and other properties based on the zeros of these functions are also considered.

引用

页码：1837 / 1859

页数：23

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