RATIO ASYMPTOTICS FOR BIORTHOGONAL MATRIX POLYNOMIALS WITH UNBOUNDED RECURRENCE COEFFICIENTS.

Applicable Analysis and Discrete Mathematics

article

Amilcar Branquinho¹  Juan C. Garcia-Ardila²  Francisco Marcellan³ 

[1] CMUC and Department of Mathematics, University of Coimbra;Departamento de Matem´atica Aplicada a la Ingenier´ıa Industrial, Universidad Polit´ecnica de Madrid;Departamento de Matem´aticas, Universidad Carlos III de Madrid and Instituto de Ciencias Matem´aticas ,(ICMAT), Avenida Universidad 30

关键词: ratio asymptotic;    quadrature formulae;    Markov functions;    matrix biorthogonal polynomials;    generalized Chebyshev polynomials;   

DOI  :  10.2298/AADM190225051B

学科分类：社会科学、人文和艺术（综合）

来源: Univerzitet u Beogradu * Elektrotehnicki Fakultet / University of Belgrade, Faculty of Electrical Engineering

【 摘 要 】

In this paper we study matrix biorthogonal polynomials sequences that satisfy a nonsymmetric three term recurrence relation with unbounded matrixcoefficients. The outer ratio asymptotics for this family of matrix biorthogonal polynomials is derived under quite general assumptions. Some illustrativeexamples are considered.

【 授权许可】

Unknown