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

Diego Dominici
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Abstract

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.

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Diego Dominici. 2005-08-15. Asymptotic analysis of the Askey-scheme II: from Charlier to Hermite. https://arxiv.org/abs/math/0508264

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