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

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math.CA2005

Some remarks on a paper by L. Carlitz

Diego Dominici

We study a family of orthogonal polynomials which generalizes a sequence of polynomials considered by L. Carlitz. We show that they are a special case of the Sheffer polynomials an…

math.CA2005★ 1 cited

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

Diego Dominici

We analyze the Charlier polynomials C(n,x)and their zeros asymptotically for large n. We obtain asymptotic approximations, using the limit relation between the Krawtchouk and Charl…

math.CA2005

Asymptotic analysis of the Krawtchouk polynomials by the WKB method

Diego Dominici

We analyze the Krawtchouk polynomials K(n,x,N,p,q) asymptotically. We use singular perturbation methods to analyze them for N large with appropriate scalings of the two variables x…