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arXiv · 2312.14317

On two families of discrete multiple orthogonal polynomials on a star-like set

Jorge Arvesú Carballo·Alejandro J. Quintero Roba
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Abstract

We study two families of type II discrete multiple orthogonal polynomials on an $r$-legged star-like set with respect to $r$ weight functions of Charlier (Poisson distributions) and Meixner (negative binomial distributions), respectively. We focus our attention on the structural properties such as the raising operators, the Rodrigues-type formulas, and the explicit expressions of the polynomial families as well as the coefficients of the nearest neighbor recurrence relation. A limit relation between these families is given.

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Jorge Arvesú Carballo, Alejandro J. Quintero Roba. 2023-12-21. On two families of discrete multiple orthogonal polynomials on a star-like set. https://arxiv.org/abs/2312.14317

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