Asymptotic zero distribution of Jacobi-Pi\~neiro and multiple Laguerre polynomials
Classical Analysis and ODEs
2016-03-07 v2
Abstract
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.
Keywords
Cite
@article{arxiv.1509.04542,
title = {Asymptotic zero distribution of Jacobi-Pi\~neiro and multiple Laguerre polynomials},
author = {Thorsten Neuschel and Walter Van Assche},
journal= {arXiv preprint arXiv:1509.04542},
year = {2016}
}
Comments
19 pages, 2 figures. Some minor corrections and four new references added