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

Published 4 Aug 2017 in math.CA | (1708.01638v2)

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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