paper

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

arXiv:1708.01638

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.

18 pages

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