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arXiv · 1906.06370

Constant coefficient Laurent biorthogonal polynomials, Riordan arrays and moment sequences

Paul Barry
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Abstract

We study properties of constant coefficient Laurent biorthogonal polynomials using Riordan arrays. We give details of related orthogonal polynomials, and we explore relationships between the moments of these orthogonal polynomials, the moments of the defining Laurent biorthogonal polynomials, and the expansions of $T$-fractions. Closed form expressions are given for the polynomials and their moments.

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Paul Barry. 2019-06-14. Constant coefficient Laurent biorthogonal polynomials, Riordan arrays and moment sequences. https://arxiv.org/abs/1906.06370

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