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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/76041We analyze the Hermite polynomials $H_{n}(ξ)$ and their zeros asymptotically as $n\to\infty,$ using the limit relation between the Charlier and Hermite polynomials. Our formulas involve some special functions and they yield very accurate approximations.10 pagesClassical Analysis and ODEs33C45 (Primary) 34E05, 33C10 (Secondary)Asymptotic analysis of the Askey-scheme II: from Charlier to Hermitetext