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Zeros of Gegenbauer and Hermite polynomials and connection coefficients

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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.accessioned2014-05-20T14:01:34Z
dc.date.available2014-05-20T14:01:34Z
dc.date.issued2004-01-01
dc.description.abstractIn this paper, sharp upper limit for the zeros of the ultraspherical polynomials are obtained via a result of Obrechkoff and certain explicit connection coefficients for these polynomials. As a consequence, sharp bounds for the zeros of the Hermite polynomials are obtained.en
dc.description.affiliationUniv Vigo, ETSE Telecomunicac, 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.extent1937-1951
dc.identifierhttp://dx.doi.org/10.1090/S0025-5718-04-01642-4
dc.identifier.citationMathematics of Computation. Providence: Amer Mathematical Soc, v. 73, n. 248, p. 1937-1951, 2004.
dc.identifier.doi10.1090/S0025-5718-04-01642-4
dc.identifier.issn0025-5718
dc.identifier.lattes1681267716971253
dc.identifier.urihttp://hdl.handle.net/11449/21727
dc.identifier.wosWOS:000222002400018
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 polynomialspt
dc.subjectzeros of Gegenbauer polynomialspt
dc.subjectzeros of Hermite polynomialspt
dc.subjectconnection coefficientspt
dc.titleZeros of Gegenbauer and Hermite polynomials and connection coefficientsen
dc.typeArtigo
dcterms.licensehttp://www.ams.org/publications/journals/open-access/open-access
dcterms.rightsHolderAmer Mathematical Soc
dspace.entity.typePublication
unesp.author.lattes1681267716971253
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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São José do Rio Preto - IBILCE - Instituto de Biociências, Letras e Ciências Exatas