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arxiv: 1708.01638 · v2 · pith:THFQSB6Enew · submitted 2017-08-04 · 🧮 math.CA

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

classification 🧮 math.CA
keywords matrixpolynomialsasymptoticbiorthogonalcoefficientsratiorecurrenceunbounded
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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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