Zeros of Jacobi functions of second kind

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dc.contributor.authorArea, I
dc.contributor.authorDimitrov, D. K.
dc.contributor.authorGodoy, E.
dc.contributor.authorRonveaux, A.
dc.contributor.institutionUniv Vigo
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionUniv Catholique Louvain
dc.date.accessioned2014-05-20T14:01:32Z
dc.date.available2014-05-20T14:01:32Z
dc.date.issued2006-04-01
dc.description.abstractThe number of zeros in (- 1, 1) of the Jacobi function of second kind Q(n)((alpha, beta)) (x), alpha, beta > - 1, i.e. The second solution of the differential equation(1 - x(2))y (x) + (beta - alpha - (alpha + beta + 2)x)y' (x) + n(n + alpha + beta + 1)y(x) = 0,is determined for every n is an element of N and for all values of the parameters alpha > - 1 and beta > - 1. It turns out that this number depends essentially on alpha and beta as well as on the specific normalization of the function Q(n)((alpha, beta)) (x). Interlacing properties of the zeros are also obtained. As a consequence of the main result, we determine the number of zeros of Laguerre's and Hermite's functions of second kind. (c) 2005 Elsevier B.V. All rights reserved.en
dc.description.affiliationUniv Vigo, ETSE Telecommun, Dept Matemat Aplicada 2, Vigo 36200, Spain
dc.description.affiliationUniv Estadual Paulista, IBILCE, Dept Ciências Computacao & Estatist, BR-15054000 Sao Jose do Rio Preto, SP, Brazil
dc.description.affiliationUniv Vigo, ETSI Ind, Dept Matemat Aplicada 2, Vigo 36200, Spain
dc.description.affiliationUniv Catholique Louvain, Dept Math, Unite Anal Math & Mecan, B-1348 Louvain, Belgium
dc.description.affiliationUnespUniv Estadual Paulista, IBILCE, Dept Ciências Computacao & Estatist, BR-15054000 Sao Jose do Rio Preto, SP, Brazil
dc.format.extent65-76
dc.identifierhttp://dx.doi.org/10.1016/j.cam.2005.03.055
dc.identifier.citationJournal of Computational and Applied Mathematics. Amsterdam: Elsevier B.V., v. 188, n. 1, p. 65-76, 2006.
dc.identifier.doi10.1016/j.cam.2005.03.055
dc.identifier.fileWOS000234789100005.pdf
dc.identifier.issn0377-0427
dc.identifier.lattes1681267716971253
dc.identifier.urihttp://hdl.handle.net/11449/21717
dc.identifier.wosWOS:000234789100005
dc.language.isoeng
dc.publisherElsevier B.V.
dc.relation.ispartofJournal of Computational and Applied Mathematics
dc.relation.ispartofjcr1.632
dc.relation.ispartofsjr0,938
dc.rights.accessRightsAcesso aberto
dc.sourceWeb of Science
dc.subjectJacobi functions of second kindpt
dc.subjectzerospt
dc.subjectJacobi polynomialspt
dc.subjectinterlacing properties of zerospt
dc.subjectLaguerre and Hermite functions of second kindpt
dc.titleZeros of Jacobi functions of second kinden
dc.typeArtigo
dcterms.licensehttp://www.elsevier.com/about/open-access/open-access-policies/article-posting-policy
dcterms.rightsHolderElsevier B.V.
unesp.author.lattes1681267716971253
unesp.campusUniversidade Estadual Paulista (Unesp), Instituto de Biociências Letras e Ciências Exatas, São José do Rio Pretopt

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