Publication:
Strong and ratio asymptotics for Laguerre polynomials revisited

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dc.affiliation.dptoUC3M. Departamento de Matemáticases
dc.affiliation.grupoinvUC3M. Grupo de Investigación: Análisis Aplicadoes
dc.contributor.authorDeaño Cabrera, Alfredo
dc.contributor.authorHuertas Cejudo, Edmundo José
dc.contributor.authorMarcellán Español, Francisco José
dc.date.accessioned2016-06-30T08:51:53Z
dc.date.available2016-06-30T08:51:53Z
dc.date.issued2013-07-15
dc.description.abstractIn this paper we consider the strong asymptotic behavior of Laguerre polynomials in the complex plane. The leading behavior is well known from Perron and Mehler-Heine formulas, but higher order coefficients, which are important in the context of Krall-Laguerre or Laguerre-Sobolev-type orthogonal polynomials, are notoriously difficult to compute. In this paper, we propose the use of an alternative expansion, due to Buchholz, in terms of Bessel functions of the first kind. The coefficients in this expansion can be obtained in a straightforward way using symbolic computation. As an application, we derive extra terms in the asymptotic expansion of ratios of Laguerre polynomials in C \ [0, infinity).en
dc.description.sponsorshipThe three authors has been supported by Dirección General de Investigación, Ministerio de Economía y Competitividad of Spain, grant MTM2012-36732-C03-01. A. Dea~no acknowledges finnancial support from Ministerio de Ciencia e Innovación of Spain, project MTM2009{11686, and from the Fund for Scientific Research Flanders, project G.0617.10.en
dc.format.extent14es
dc.format.mimetypeapplication/pdf
dc.identifier.bibliographicCitationJournal of Mathematical Analysis and Applications, 403, pp. 477-486.es
dc.identifier.doi10.1016/j.jmaa.2013.02.039
dc.identifier.issn0022-247X
dc.identifier.publicationfirstpage477es
dc.identifier.publicationissue2es
dc.identifier.publicationlastpage486es
dc.identifier.publicationtitleJournal of Mathematical Analysis and Applicationsen
dc.identifier.publicationvolume403es
dc.identifier.urihttps://hdl.handle.net/10016/23257
dc.identifier.uxxiAR/0000013205
dc.language.isoenges
dc.publisherElsevieres
dc.relation.projectIDGobierno de España. MTM2012- 36732- C03-01es
dc.relation.projectIDGobierno de España. MTM2009-11686es
dc.relation.publisherversionhttp://dx.doi.org/10.1016/j.jmaa.2013.02.039
dc.rights© Elsevier 2013es
dc.rightsAtribución-NoComercial-SinDerivadas 3.0 España*
dc.rights.accessRightsopen accesses
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/*
dc.subject.ecienciaMatemáticases
dc.subject.otherLaguerre orthogonal polynomialsen
dc.subject.otherAsymptotic expansionsen
dc.titleStrong and ratio asymptotics for Laguerre polynomials revisiteden
dc.typeresearch article*
dc.type.hasVersionAM*
dspace.entity.typePublication
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