Convergent Asymptotic Expansions of Charlier, Laguerre and Jacobi Polynomials

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dc.creatorLópez, José L.
dc.creatorTemme, Nico M.
dc.date2004-10-20
dc.date.accessioned2026-07-07T05:13:26Z
dc.date.available2026-07-07T05:13:26Z
dc.descriptionConvergent 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.
dc.description20 pages, 5 figures. Keywords: Charlier polynomials, Laguerre polynomials, Jacobi polynomials, asymptotic expansions, saddle point methods, two-points Taylor expansions
dc.identifierhttps://arxiv.org/abs/math/0410439
dc.identifierhttp://arxiv.org/abs/math/0410439
dc.identifierProc. Roy. Soc. Edinburgh Sect. A, 134A, 537--555, 2004
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72943
dc.subjectClassical Analysis and ODEs
dc.subject33C45, 41A60, 30E20
dc.titleConvergent Asymptotic Expansions of Charlier, Laguerre and Jacobi Polynomials
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