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

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We 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 pages

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Classical Analysis and ODEs, 33C45 (Primary) 34E05, 33C10 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/76041

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0508264
 http://arxiv.org/abs/math/0508264

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arXiv