Zeros of Gegenbauer and Hermite polynomials and connection coefficients

dc.contributorUniv Vigo
dc.contributorUniversidade Estadual Paulista (Unesp)
dc.contributorUniv Catholique Louvain
dc.date.accessioned2014-05-20T14:01:34Z
dc.date.available2014-05-20T14:01:34Z
dc.date.created2014-05-20T14:01:34Z
dc.date.issued2004-01-01
dc.identifierMathematics of Computation. Providence: Amer Mathematical Soc, v. 73, n. 248, p. 1937-1951, 2004.
dc.identifier0025-5718
dc.identifierhttp://hdl.handle.net/11449/21727
dc.identifier10.1090/S0025-5718-04-01642-4
dc.identifierWOS:000222002400018
dc.identifier1681267716971253
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.
dc.languageeng
dc.publisherAmer Mathematical Soc
dc.relationMathematics of Computation
dc.relation1.750
dc.relation1,939
dc.rightsAcesso aberto
dc.sourceWeb of Science
dc.subjectOrthogonal polynomials
dc.subjectzeros of Gegenbauer polynomials
dc.subjectzeros of Hermite polynomials
dc.subjectconnection coefficients
dc.titleZeros of Gegenbauer and Hermite polynomials and connection coefficients
dc.typeArtículos de revistas


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