Asymptotic analysis of the Askey-scheme I: from Krawtchouk to Charlier
Classical Analysis and ODEs
2007-05-23 v1
Abstract
We analyze the Charlier polynomials C(n,x)and their zeros asymptotically for large n. We obtain asymptotic approximations, using the limit relation between the Krawtchouk and Charlier polynomials, involving some special functions. We give numerical examples showing the accuracy of our formulas.
Cite
@article{arxiv.math/0501072,
title = {Asymptotic analysis of the Askey-scheme I: from Krawtchouk to Charlier},
author = {Diego Dominici},
journal= {arXiv preprint arXiv:math/0501072},
year = {2007}
}
Comments
29 pages, 9 figures