Relative Asymptotics of Matrix Orthogonal Polynomials for Uvarov Perturbations: The Degenerate Case

被引：5

作者：

Yakhlef, Hossain O. ^{[1
,2
]}

Marcellan, Francisco ^{[3
]}

机构：

[1] Univ Abdel Maleek Essadi, Fac Polydisciplianire, Dept Mat & Stat, Totouan, Morocco

[2] Univ Carlos III Madrid, Dept Matemat, Ave Univ 30, Leganes 28911, Spain

[3] UAM, Inst Ciencias Matemat ICMAT, Calle Nicolas Cabrera 13-15,Campus Cantoblanco, Madrid 28049, Spain

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2016年 / 13卷 / 05期

关键词：

Outer relative asymptotics; matrix orthogonal polynomials; perturbation of a matrix of measures; RATIO ASYMPTOTICS; WEIGHT MATRICES; GAUSSIAN QUADRATURE; FORMULAS; ZEROS;

D O I：

10.1007/s00009-016-0676-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let be a square matrix of measures, and the associated sequence of orthonormal matrix polynomials satisfying the three-term recurrence relation Let , where is a positive definite matrix, is the Dirac measure supported at that is located outside the support of . We study the outer relative asymptotics of the sequence with respect to the sequence under quite general assumption on the coefficients of the three-term recurrence relation and {B-n (alpha)}(n >= 0).

引用

页码：3135 / 3153

页数：19

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