English

Asymptotic analysis of the Askey-scheme II: from Charlier to Hermite

Classical Analysis and ODEs 2007-05-23 v1

Abstract

We analyze the Hermite polynomials Hn(ξ)H_{n}(\xi) and their zeros asymptotically as n,n\to\infty, using the limit relation between the Charlier and Hermite polynomials. Our formulas involve some special functions and they yield very accurate approximations.

Keywords

Cite

@article{arxiv.math/0508264,
  title  = {Asymptotic analysis of the Askey-scheme II: from Charlier to Hermite},
  author = {Diego Dominici},
  journal= {arXiv preprint arXiv:math/0508264},
  year   = {2007}
}

Comments

10 pages