Publication: Convergent asymptotic expansions of Charlier, Laguerre and Jacobi polynomials
Date
2004
Authors
Temme, Nico M.
Director
Publisher
Cambridge University Press
Acceso abierto / Sarbide irekia
Artículo / Artikulua
Versión aceptada / Onetsi den bertsioa
Project identifier
Métricas Alternativas
Abstract
Convergent expansions are derived for three types of orthogonal polynomials: Charlier, Laguerre and Jacobi. The expansions have asymptotic properties for large values of the degree. The expansions are given in terms of functions that are special cases of the given polynomials. The method is based on expanding integrals in one or two points of the complex plane, these points being saddle points of the phase functions of the integrands.
Description
Keywords
Charlier polynomials, Laguerre polynomials, Jacobi polynomials, Convergent expansions
Department
Ingeniería Matemática e Informática / Matematika eta Informatika Ingeniaritza
Faculty/School
Degree
Doctorate program
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© 2004 The Royal Society of Edinburgh
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