Plancherel—Rotach Asymptotics for the Charlier Polynomials

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作者
W. M. Y. Goh
机构
[1] Drexel University,Department of Mathematics and Computer Science
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Key words. Orthogonal polynomials; Charlier polynomials, Plancherel—Rotach asymptotics; Laplace method, Saddle point method; Airy function. AMS Classification.; 33C45. <lsiheader> <onlinepub>8 May, 1998; <editor>Editors-in-Chief: &lsilt;a href=../edboard.html#chiefs&lsigt;R.A. DeVore; E.B. Saff&lsilt;/a&lsigt; <pdfname>14n2p151.pdf <pdfexist>yes <htmlexist>no <htmlfexist>no <texexist>yes <sectionname> </lsiheader>;
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摘要
We derive an asymptotic approximation of Plancherel—Rotach type for the Charlier polynomials on the positive real line.
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页码:151 / 168
页数:17
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