Ratio asymptotic for bi-orthogonal matrix polynomials with unbounded recurrence coefficients

2017/08/04 by Amílcar Branquinho, Amilcar Branquinho, Juan Carlos García-Ardila +4
Computer Science · Mathematics · #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical functions and polynomials #Matrix Theory and Algorithms #Spectral Theory in Mathematical Physics #math.CA

paper · pdf · doi:10.48550/arxiv.1708.01638

18 pages

openalex publication_date 2017/08/04 · arxiv created 2017/10/04 · arxiv updated 2017/10/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this work is presented a study on matrix biorthogonal polynomials sequences that satisfy a nonsymmetric recurrence relation with unbounded coefficients. The ratio asymptotic for this family of matrix biorthogonal polynomials is derived in quite general assumptions. It is considered some illustrative examples.

Related

• Relative asymptotics for orthogonal matrix polynomials
• Finite biorthogonal M matrix polynomials
• Matrix biorthogonal polynomials, associated polynomials and functions of the second kind
• Asymptotic zero distribution for a class of multiple orthogonal polynomials
• Orthogonal matrix polynomials satisfying differential equations with recurrence coefficients having non-scalar limits