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Displaying similar documents to “Derivation of the Hille-Hardy type formulae and operational methods”

Asymptotic analysis of the Askey-scheme I: from Krawtchouk to Charlier

Diego Dominici (2007)

Open Mathematics

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We analyze the Charlier polynomials C n(χ) and their zeros asymptotically as n → ∞. We obtain asymptotic approximations, using the limit relation between the Krawtchouk and Charlier polynomials, involving some special functions. We give numerical examples showing the accuracy of our formulas.