A matrix approach for the semiclassical and coherent orthogonal polynomials

被引：8

作者：

Garza, Lino G. ^{[1
]}

Garza, Luis E. ^{[2
]}

Marcellan, Francisco ^{[1
,3
]}

Pinzon-Cortes, Natalia C. ^{[4
]}

机构：

[1] Univ Carlos III Madrid, Dept Matemat, Leganes 28911, Spain

[2] Univ Colima, Fac Ciencias, Colima 28045, Mexico

[3] Inst Ciencias Matemat ICMAT, Uam, Spain

[4] Univ Nacl Colombia, Fac Ciencias, Dept Matemat, Bogota 404310, Colombia

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2015年 / 256卷

关键词：

Semiclassical orthogonal polynomials; Matrix representation; Coherent pairs; Jacobi matrices; N)-COHERENT PAIRS; (M;

D O I：

10.1016/j.amc.2015.01.071

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We obtain a matrix characterization of semiclassical orthogonal polynomials in terms of the Jacobi matrix associated with the multiplication operator in the basis of orthogonal polynomials, and the lower triangular matrix that represents the orthogonal polynomials in terms of the monomial basis of polynomials. We also provide a matrix characterization for coherent pairs of linear functionals. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：459 / 471

页数：13

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