On two families of discrete multiple orthogonal polynomials on a star-like set
Classical Analysis and ODEs
2023-12-25 v1
Abstract
We study two families of type II discrete multiple orthogonal polynomials on an -legged star-like set with respect to 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.
Keywords
Cite
@article{arxiv.2312.14317,
title = {On two families of discrete multiple orthogonal polynomials on a star-like set},
author = {Jorge Arvesú Carballo and Alejandro J. Quintero Roba},
journal= {arXiv preprint arXiv:2312.14317},
year = {2023}
}
Comments
This is a preprint accepted for publication in Lobachevskii Journal of Mathematics, 2023, No. 12