Constructive Approximation

April 1998, Volume 14, Issue 2, pp 151–168 | Cite as

Plancherel—Rotach Asymptotics for the Charlier Polynomials

• Authors
• Authors and affiliations

• W. M. Y. Goh

Article

First Online: 01 January 1997

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Abstract.

We derive an asymptotic approximation of Plancherel—Rotach type for the Charlier polynomials on the positive real line.

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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Copyright information

© Springer-Verlag New York 1997

Authors and Affiliations

• W. M. Y. Goh
  • 1

1. 1.Department of Mathematics and Computer ScienceDrexel UniversityPhiladelphiaUS