Convergent asymptotic expansions of Charlier, Laguerre and Jacobi polynomials

López García, José Luis; Temme, Nico M.

Publication:
Convergent asymptotic expansions of Charlier, Laguerre and Jacobi polynomials

dc.contributor.author	López García, José Luis
dc.contributor.author	Temme, Nico M.
dc.contributor.department	Ingeniería Matemática e Informática	es_ES
dc.contributor.department	Matematika eta Informatika Ingeniaritza	eu
dc.date.accessioned	2019-04-03T07:22:27Z
dc.date.available	2019-04-03T07:22:27Z
dc.date.issued	2004
dc.description.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.	en
dc.description.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.	en
dc.format.extent	19 p.
dc.format.mimetype	application/pdf	en
dc.identifier.doi	10.1017/S0308210500003334
dc.identifier.issn	0370-1646
dc.identifier.uri	https://academica-e.unavarra.es/handle/2454/32802
dc.language.iso	eng	en
dc.publisher	Cambridge University Press	en
dc.relation.ispartof	Proceedings of the Royal Society of Edinburgh, 134A, 537–555, 2004	en
dc.relation.publisherversion	https://doi.org/10.1017/S0308210500003334
dc.rights	© 2004 The Royal Society of Edinburgh	en
dc.rights.accessRights	info:eu-repo/semantics/openAccess	en
dc.rights.accessRights	Acceso abierto / Sarbide irekia	es
dc.subject	Charlier polynomials	en
dc.subject	Laguerre polynomials	en
dc.subject	Jacobi polynomials	en
dc.subject	Convergent expansions	en
dc.title	Convergent asymptotic expansions of Charlier, Laguerre and Jacobi polynomials	en
dc.type	info:eu-repo/semantics/article
dc.type.version	info:eu-repo/semantics/acceptedVersion	en
dc.type.version	Versión aceptada / Onetsi den bertsioa	es
dspace.entity.type	Publication
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