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Slater determinants of orthogonal polynomials

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dc.contributor.authorDimitrov, Dimitar K. [UNESP]
dc.contributor.authorXu, Yuan
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionUniv Oregon
dc.date.accessioned2018-11-26T16:19:04Z
dc.date.available2018-11-26T16:19:04Z
dc.date.issued2016-03-15
dc.description.abstractThe symmetrized Slater determinants of orthogonal polynomials with respect to a non-negative Borel measure are shown to be represented by constant multiple of Hankel determinants of two other families of polynomials, and they can also be written in terms of Selberg type integrals. Applications include positive determinants of polynomials of several variables and Jensen polynomials and its derivatives for entire functions. (C) 2015 Elsevier Inc. All rights reserved.en
dc.description.affiliationUniv Estadual Paulista, IBILCE, Dept Matemat Aplicada, BR-15054000 Sao Jose Do Rio Preto, SP, Brazil
dc.description.affiliationUniv Oregon, Dept Math, Eugene, OR 97403 USA
dc.description.affiliationUnespUniv Estadual Paulista, IBILCE, Dept Matemat Aplicada, BR-15054000 Sao Jose Do Rio Preto, SP, Brazil
dc.description.sponsorshipFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.description.sponsorshipConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.description.sponsorshipNSF
dc.description.sponsorshipIdFAPESP: 2009/13832-9
dc.description.sponsorshipIdFAPESP: 2014/08328-8
dc.description.sponsorshipIdCNPq: 307183/2013-0
dc.description.sponsorshipIdNSF: DMS-1510296
dc.format.extent1552-1572
dc.identifierhttp://dx.doi.org/10.1016/j.jmaa.2015.11.039
dc.identifier.citationJournal Of Mathematical Analysis And Applications. San Diego: Academic Press Inc Elsevier Science, v. 435, n. 2, p. 1552-1572, 2016.
dc.identifier.doi10.1016/j.jmaa.2015.11.039
dc.identifier.fileWOS000367119200033.pdf
dc.identifier.issn0022-247X
dc.identifier.urihttp://hdl.handle.net/11449/161083
dc.identifier.wosWOS:000367119200033
dc.language.isoeng
dc.publisherElsevier B.V.
dc.relation.ispartofJournal Of Mathematical Analysis And Applications
dc.rights.accessRightsAcesso aberto
dc.sourceWeb of Science
dc.subjectSlater determinant
dc.subjectOrthogonal polynomials
dc.subjectWronskian
dc.subjectLaplace transform
dc.titleSlater determinants of orthogonal polynomialsen
dc.typeArtigo
dcterms.licensehttp://www.elsevier.com/about/open-access/open-access-policies/article-posting-policy
dcterms.rightsHolderElsevier B.V.
dspace.entity.typePublication
unesp.campusUniversidade Estadual Paulista (UNESP), Instituto de Biociências, Letras e Ciências Exatas, São José do Rio Pretopt
unesp.departmentMatemática Aplicada - IBILCEpt

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São José do Rio Preto - IBILCE - Instituto de Biociências, Letras e Ciências Exatas