Asymptotic zero distribution of Jacobi-Pi\~neiro and multiple Laguerre polynomials

Autor:	Neuschel, Thorsten, Van Assche, Walter
Rok vydání:	2015
Předmět:	Mathematics - Classical Analysis and ODEs 42C05 33C45 26C10
Zdroj:	J. Approx. Theory 250 (2016), 114-132
Druh dokumentu:	Working Paper
DOI:	10.1016/j.jat.2016.02.002
Popis:	We give the asymptotic distribution of the zeros of Jacobi-Pi\~neiro polynomials and multiple Laguerre polynomials of the first kind. We use the nearest neighbor recurrence relations for these polynomials and a recent result on the ratio asymptotics of multiple orthogonal polynomials. We show how these asymptotic zero distributions are related to the Fuss-Catalan distribution. Comment: 19 pages, 2 figures. Some minor corrections and four new references added
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1509.04542 Zobrazit plný text záznamu View this record from Arxiv