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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…
A Sharp Inequality for Conditional Distribution of the First Exit Time of Brownian Motion
Majid Hosseini
Let be a domain, convex in and symmetric about the y-axis, which is contained in a centered and oriented rectangle . \linebreak If is the first exit time of Browni…
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…
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…