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Plancherel—Rotach Asymptotics for the Charlier Polynomials
Authors:W. M. Y. Goh
Affiliation:(1) Department of Mathematics and Computer Science Drexel University Philadelphia PA 19104 USA wgoh@mcs.drexel.edu, US
Abstract:We derive an asymptotic approximation of Plancherel—Rotach type for the Charlier polynomials on the positive real line. July 26, 1993. Date revised: December 2, 1996.
Keywords:. Orthogonal polynomials, Charlier polynomials, Plancherel—  Rotach asymptotics, Laplace method, Saddle point method, Airy function. AMS Classification. 33C45. 8 May, 1998 Editors-in-Chief: &  lsilt  a href=../edboard.html#chiefs&  lsigt  R.A. DeVore, E.B. Saff&  lsilt  /a&  lsigt   14n2p151.pdf yes no no yes
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