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Zeros of classical orthogonal polynomials of a discrete variable

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dc.contributor.authorArea, Ivan
dc.contributor.authorDimitrov, Dimitar K. [UNESP]
dc.contributor.authorGodoy, Eduardo
dc.contributor.authorPaschoa, Vanessa G.
dc.contributor.institutionUniv Vigo
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionUniversidade Estadual de Campinas (UNICAMP)
dc.date.accessioned2014-12-03T13:11:07Z
dc.date.available2014-12-03T13:11:07Z
dc.date.issued2013-04-01
dc.description.abstractIn this paper we obtain sharp bounds for the zeros of classical orthogonal polynomials of a discrete variable, considered as functions of a parameter, by using a theorem of A. Markov and the so-called Hellmann-Feynman theorem. Comparisons with previous results for zeros of Hahn, Meixner, Kravchuk and Charlier polynomials are also presented.en
dc.description.affiliationUniv Vigo, Dept Matemat Aplicada 2, EE Telecomunicac, Vigo 36310, Spain
dc.description.affiliationUniv Estadual Paulista, Dept Ciencias Comp & Estat, BR-15054000 Sao Jose do Rio Preto, SP, Brazil
dc.description.affiliationUniv Vigo, Dept Matemat Aplicada 2, EE Ind, Vigo 36310, Spain
dc.description.affiliationUniv Estadual Campinas UNICAMP, IMECC, Dept Matemat Aplicada, BR-13083859 Campinas, SP, Brazil
dc.description.affiliationUnespUniv Estadual Paulista, Dept Ciencias Comp & Estat, BR-15054000 Sao Jose do Rio Preto, SP, Brazil
dc.description.sponsorshipCoordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
dc.description.sponsorshipConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.description.sponsorshipFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.description.sponsorshipMinisterio de Ciencia e Innovacion of Spain
dc.description.sponsorshipEuropean Community fund FEDER
dc.description.sponsorshipIdCAPES: 160/08
dc.description.sponsorshipIdCAPES: PHB2007-0078
dc.description.sponsorshipIdCNPq: 305622/2009-9
dc.description.sponsorshipIdFAPESP: 09/13832-9
dc.description.sponsorshipIdMinisterio de Ciencia e Innovacion of SpainMTM2009-14668-C02-01
dc.format.extent1069-1095
dc.identifierhttp://dx.doi.org/10.1090/S0025-5718-2012-02646-9
dc.identifier.citationMathematics of Computation. Providence: Amer Mathematical Soc, v. 82, n. 282, p. 1069-1095, 2013.
dc.identifier.fileWOS000326287500019.pdf
dc.identifier.issn0025-5718
dc.identifier.urihttp://hdl.handle.net/11449/112878
dc.identifier.wosWOS:000326287500019
dc.language.isoeng
dc.publisherAmer Mathematical Soc
dc.relation.ispartofMathematics of Computation
dc.relation.ispartofjcr1.750
dc.relation.ispartofsjr1,939
dc.rights.accessRightsAcesso aberto
dc.sourceWeb of Science
dc.subjectOrthogonal polynomials of a discrete variableen
dc.subjectZerosen
dc.subjectCharlier polynomialsen
dc.subjectKravchuk polynomialsen
dc.subjectMeixner polynomialsen
dc.subjectHahn polynomialsen
dc.subjectGram polynomialsen
dc.titleZeros of classical orthogonal polynomials of a discrete variableen
dc.typeArtigo
dcterms.rightsHolderAmer Mathematical Soc
dspace.entity.typePublication
unesp.author.orcid0000-0002-3078-2336[2]
unesp.author.orcid0000-0003-0113-7773[4]
unesp.author.orcid0000-0003-0872-5017[1]
unesp.campusUniversidade Estadual Paulista (UNESP), Instituto de Biociências Letras e Ciências Exatas, São José do Rio Pretopt
unesp.departmentCiências da Computação e Estatística - IBILCEpt

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