RATIO ASYMPTOTICS FOR BIORTHOGONAL MATRIX POLYNOMIALS WITH UNBOUNDED RECURRENCE COEFFICIENTS

被引：0
|
作者：
Branquinho, Amilcar [1 ,2 ]
Garcia-Ardila, Juan C. [3 ]
Marcellan, Francisco [4 ,5 ]
机构：
[1] Univ Coimbra, CMUC, Apartado 3008, P-3001501 Coimbra, Portugal
[2] Univ Coimbra, Dept Math, Apartado 3008, P-3001501 Coimbra, Portugal
[3] Univ Politecn Madrid, Dept Matemat Aplicada Ingn Ind, Calle Jose Gutierrez Abascal 2, Madrid 28009, Spain
[4] Univ Carlos III Madrid, Dept Matemat, Ave Univ 30, Leganes 28911, Spain
[5] Inst Ciencias Matemat ICMAT, Ave Univ 30, Leganes 28911, Spain
来源：
APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS | 2020年 / 14卷 / 03期
关键词：
ratio asymptotic; quadrature formulae; Markov functions; matrix biorthogonal polynomials; generalized Chebyshev polynomials; ORTHOGONAL POLYNOMIALS; RELATIVE ASYMPTOTICS; THEOREM;
D O I：
10.2298/AADM190225051B
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we study matrix biorthogonal polynomials sequences that satisfy a nonsymmetric three term recurrence relation with unbounded matrix coefficients. The outer ratio asymptotics for this family of matrix biorthogonal polynomials is derived under quite general assumptions. Some illustrative examples are considered.
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页码：754 / 774
页数：21
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