Asymptotics for the ratio and the zeros of multiple Charlier polynomials
Classical Analysis and ODEs
2013-10-04 v1
Abstract
We investigate multiple Charlier polynomials and in particular we will use the (nearest neighbor) recurrence relation to find the asymptotic behavior of the ratio of two multiple Charlier polynomials. This result is then used to obtain the asymptotic distribution of the zeros, which is uniform on an interval. We also deal with the case where one of the parameters of the various Poisson distributions depend on the degree of the polynomial, in which case we obtain another asymptotic distribution of the zeros.
Keywords
Cite
@article{arxiv.1108.3918,
title = {Asymptotics for the ratio and the zeros of multiple Charlier polynomials},
author = {François Ndayiragije and Walter Van Assche},
journal= {arXiv preprint arXiv:1108.3918},
year = {2013}
}
Comments
19 pages, 3 figures