On Two Families of Discrete Multiple Orthogonal Polynomials on a Star-like Set

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 rais...

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Bibliographic Details
Published in:Lobachevskii journal of mathematics 2023-12, Vol.44 (12), p.5204-5225
Main Authors: Arvesú Carballo, Jorge, Quintero Roba, A. J.
Format: Article
Language:English
Subjects:
Algebra
Analysis
Geometry
Mathematical analysis
Mathematical Logic and Foundations
Mathematics
Mathematics and Statistics
Operators (mathematics)
Poisson distribution
Polynomials
Probability Theory and Stochastic Processes
Weighting functions
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Summary: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.
ISSN:1995-0802
1818-9962
DOI:10.1134/S1995080223120107