An urn model for the Jacobi-Pi\~neiro polynomials

Autor:	Grünbaum, F. Alberto, de la Iglesia, Manuel D.
Rok vydání:	2021
Předmět:	Mathematics - Probability Mathematics - Classical Analysis and ODEs 60J10 15A23 33C45 42C05
Druh dokumentu:	Working Paper
Popis:	The list of physically motivated urn models that can be solved in terms of classical orthogonal polynomials is very small. It includes a model proposed by D. Bernoulli and further analyzed by S. Laplace and a model proposed by P. and T. Ehrenfest and eventually connected with the Krawtchouk and Hahn polynomials. This connection was reversed recently in the case of the Jacobi polynomials where a rather contrived, and later a simpler urn model was proposed. Here we consider an urn model going with the Jacobi-Pi\~neiro multiple orthogonal polynomials. These polynomials have recently been put forth in connection with a stochastic matrix. Comment: 10 pages, 5 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2105.00614 Zobrazit plný text záznamu View this record from Arxiv