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arXiv · 1908.11467

Discrete multiple orthogonal polynomials on shifted lattices

Alexander Dyachenko·Vladimir Lysov
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Abstract

We introduce a new class of polynomials of multiple orthogonality with respect to the product of $r$ classical discrete weights on integer lattices with noninteger shifts. We give explicit representations in the form of the Rodrigues formulas. The case of two weights is described in detail.

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Alexander Dyachenko, Vladimir Lysov. 2019-08-29. Discrete multiple orthogonal polynomials on shifted lattices. https://arxiv.org/abs/1908.11467

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