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Asymptotics for Laguerre-Sobolev type orthogonal polynomials modified within their oscillatory regime

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dc.affiliation.dptoUC3M. Departamento de Matemáticases
dc.affiliation.grupoinvUC3M. Grupo de Investigación: Análisis Aplicadoes
dc.contributor.authorHuertas Cejudo, Edmundo José
dc.contributor.authorMarcellán Español, Francisco José
dc.contributor.authorPérez Valero, María Francisca
dc.contributor.authorQuintana, Yamilet
dc.date.accessioned2016-07-11T10:06:01Z
dc.date.available2016-07-11T10:06:01Z
dc.date.issued2014-06-01
dc.description.abstractIn this paper we consider sequences of polynomials orthogonal with respect to the discrete Sobolev inner product (f.g)_s ∫_°^∞ f(x)g(x) x^(α ) e dx+F(c)ΑG(c)^t, α> 1 where f and g are polynomials with real coefficients A∈ R^2.2 and the vectors F(c), G(c) are A=(■(M&0@0&N)), F(c)=(f(c),f'(c) ) G(c)=(g(c),g'(c)) with M,N ∈ R and the mass point c is located inside the oscillatory region for the classical Laguerre polynomials. We focus our attention on the representation of these polynomials in terms of classical Laguerre polynomials and we analyze the behavior of the coefficients of the corresponding five term recurrence relation when the degree of the polynomials is large enough. Also, the outer relative asymptotics of the Laguerre Sobolev type with re spect to the Laguerre polynomials is analyzed.en
dc.format.extent13
dc.format.mimetypeapplication/pdf
dc.identifier.bibliographicCitationApplied Mathematics and Computation, 2014, v. 236, pp. 260-272en
dc.identifier.doihttps://doi.org/10.1016/j.amc.2014.03.038
dc.identifier.issn0096-3003
dc.identifier.publicationfirstpage260
dc.identifier.publicationlastpage272
dc.identifier.publicationtitleApplied Mathematics and Computationen
dc.identifier.publicationvolume236
dc.identifier.urihttp://hdl.handle.net/10016/23321
dc.identifier.uxxiAR/0000015084
dc.language.isoeng
dc.publisherElsevieren
dc.relation.projectIDGobierno de España. MTM-2012-36732-C03-01
dc.rights© Elsevier 2014
dc.rightsAtribución-NoComercial-SinDerivadas 3.0 España
dc.rights.accessRightsopen access
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subject.ecienciaMatemáticases
dc.subject.otherOrthogonal polynomialsen
dc.subject.otherDiscrete Sobolev polynomialsen
dc.subject.otherLaguerre polynomialsen
dc.subject.otherAsymptoticsen
dc.titleAsymptotics for Laguerre-Sobolev type orthogonal polynomials modified within their oscillatory regimeen
dc.typeresearch article*
dc.type.hasVersionAM*
dspace.entity.typePublication
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