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Zeros of Orthogonal Polynomials Generated by the Geronimus Perturbation of Measures

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dc.affiliation.dptoUC3M. Departamento de Matemáticases
dc.affiliation.grupoinvUC3M. Grupo de Investigación: Análisis Aplicadoes
dc.contributor.authorBranquinho, Amílcar
dc.contributor.authorHuertas Cejudo, Edmundo José
dc.contributor.authorRafaeli, Fernando R
dc.date.accessioned2016-07-19T09:01:54Z
dc.date.available2016-07-19T09:01:54Z
dc.date.issued2014
dc.descriptionProceedings of: 14th International Conference Computational Science and Its Applications (ICCSA 2014). Guimarães, Portugal, June 30 – July 3, 2014en
dc.description.abstractThis paper deals with monic orthogonal polynomial sequences (MOPS in short) generated by a Geronimus canonical spectral transformation of a positive Borel measure μ, i.e., (x−c) −1dμ(x)+Nδ(x−c), for some free parameter N ∈ IR+ and shift c. We analyze the behavior of the corresponding MOPS. In particular, we obtain such a behavior when the mass N tends to infinity as well as we characterize the precise values of N such the smallest (respectively, the largest) zero of these MOPS is located outside the support of the original measure μ. When μ is semi-classical, we obtain the ladder operators and the second order linear differential equation satisfied by the Geronimus perturbed MOPS, and we also give an electrostatic interpretation of the zero distribution in terms of a logarithmic potential interaction under the action of an external field. We analyze such an equilibrium problem when the mass point of the perturbation c is located outside the support of μ.en
dc.format.extent17
dc.format.mimetypeapplication/pdf
dc.identifier.bibliographicCitationComputational Science and Its Applications - ICCSA 2014. Suiza: Springer, 2014, pp. 44-59en
dc.identifier.isbn978-3-319-09143-3
dc.identifier.issn0302-9743
dc.identifier.publicationfirstpage44
dc.identifier.publicationlastpage59
dc.identifier.publicationtitleComputational Science and Its Applications - ICCSA 2014en
dc.identifier.urihttps://hdl.handle.net/10016/23375
dc.identifier.uxxiCC/0000024377
dc.language.isoengen
dc.publisherSpringeren
dc.relation.eventdateJune 30 – July 3, 2014en
dc.relation.eventplaceGuimarães, Portugalen
dc.relation.eventtitleComputational Science and Its Applications - ICCSA 2014en
dc.relation.ispartofseriesLecture Notes in Computer Scienceen
dc.relation.ispartofseries9760
dc.relation.publisherversionhttp://dx.doi.org/10.1007/978-3-319-09144-0_4
dc.rights© Springer 2014en
dc.rights.accessRightsopen access
dc.subject.ecienciaMatemáticases
dc.subject.otherOrthogonal polynomialsen
dc.subject.otherCanonical spectral transformations of measuresen
dc.subject.otherZerosen
dc.subject.otherMonotonicityen
dc.subject.otherLaguerre polynomialsen
dc.subject.otherAsymptotic behavioren
dc.subject.otherElectrostatic interpretationen
dc.subject.otherLogarithmic potentialen
dc.titleZeros of Orthogonal Polynomials Generated by the Geronimus Perturbation of Measuresen
dc.typeconference paper*
dc.type.hasVersionAM*
dspace.entity.typePublication
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