Convergent asymptotic expansions of Charlier, Laguerre and Jacobi polynomials
Date
2004
Version
Acceso abierto / Sarbide irekia
Type
Artículo / Artikulua
Version
Versión aceptada / Onetsi den bertsioa
Impact
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 ...
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Subject
Charlier polynomials,
Laguerre polynomials,
Jacobi polynomials,
Convergent expansions
Publisher
Cambridge University Press
Published in
Proceedings of the Royal Society of Edinburgh, 134A, 537–555, 2004
Departament
Universidad Pública de Navarra. Departamento de Ingeniería Matemática e Informática /
Nafarroako Unibertsitate Publikoa. Matematika eta Informatika Ingeniaritza Saila
Publisher version
Sponsorship
J.L.L. thanks the CWI of Amsterdam for its scientific and financial support
during the realization of this work. The financial support of the savings bank, Caja
Rural de Navarra, is also acknowledged.
