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arXiv · 1708.01638

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

Amilcar Branquinho·Juan Carlos García-Ardila·Francisco Marcellán
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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.

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Amilcar Branquinho, Juan Carlos García-Ardila, Francisco Marcellán. 2017-08-04. Ratio asymptotic for bi-orthogonal matrix polynomials with unbounded recurrence coefficients. https://arxiv.org/abs/1708.01638

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