Asymptotic analysis of the Askey-scheme II: from Charlier to Hermite
classification
🧮 math.CA
keywords
hermitecharlierpolynomialsaccurateanalysisanalyzeapproximationsaskey-scheme
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We analyze the Hermite polynomials $H_{n}(\xi)$ 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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