Ratio asymptotic for bi-orthogonal matrix polynomials with unbounded recurrence coefficients
Classical Analysis and ODEs
2017-10-05 v2
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.
Cite
@article{arxiv.1708.01638,
title = {Ratio asymptotic for bi-orthogonal matrix polynomials with unbounded recurrence coefficients},
author = {Amilcar Branquinho and Juan Carlos García-Ardila and Francisco Marcellán},
journal= {arXiv preprint arXiv:1708.01638},
year = {2017}
}
Comments
18 pages