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arXiv · 1311.2292

Laurent Biorthogonal Polynomials and Riordan Arrays

Paul Barry
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Abstract

We show that Laurent biorthogonal polynomials whose defining three-term recurrence have constant coefficients have coefficient arrays that are Riordan arrays. For each such family of Laurent biorthogonal polynomials we associate in a natural way a family of orthogonal polynomials. We also extend these results to a notion of generalized orthogonal polynomials whose recurrence depends on three parameters.

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Paul Barry. 2013-11-10. Laurent Biorthogonal Polynomials and Riordan Arrays. https://arxiv.org/abs/1311.2292

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