Monotonicity of zeros of Laguerre-Sobolev-type orthogonal polynomials

dc.creatorDimitrov, DK
dc.creatorMarcellan, F
dc.creatorRafaeli, FR
dc.date2010
dc.dateAUG 1
dc.date2014-11-18T15:53:29Z
dc.date2015-11-26T17:51:44Z
dc.date2014-11-18T15:53:29Z
dc.date2015-11-26T17:51:44Z
dc.date.accessioned2018-03-29T00:35:07Z
dc.date.available2018-03-29T00:35:07Z
dc.identifierJournal Of Mathematical Analysis And Applications. Academic Press Inc Elsevier Science, v. 368, n. 1, n. 80, n. 89, 2010.
dc.identifier0022-247X
dc.identifierWOS:000276926800008
dc.identifier10.1016/j.jmaa.2010.02.038
dc.identifierhttp://www.repositorio.unicamp.br/jspui/handle/REPOSIP/82362
dc.identifierhttp://www.repositorio.unicamp.br/handle/REPOSIP/82362
dc.identifierhttp://repositorio.unicamp.br/jspui/handle/REPOSIP/82362
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1290048
dc.descriptionCoordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
dc.descriptionConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.descriptionFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.descriptionDenote by x(n,k)(M,N)(alpha), k = 1, ..., n, the zeros of the Laguerre-Sobolev-type polynomials L(n)((alpha, M, N))(x) orthogonal with respect to the inner product < p, q > = 1/Gamma(alpha + 1) integral(infinity)(0)p(x)q(x)x(alpha)e(-x) dx + Mp(0)q(0) + Np'(0)q'(0), where alpha > -1, M >= 0 and N >= 0. We prove that x(n,k)(M,N)(alpha) interlace with the zeros of Laguerre orthogonal polynomials L(n)((alpha))(x) and establish monotonicity with respect to the parameters M and N of x(n,k)(M,0)(alpha) and x(n,k)(0,N)(alpha). Moreover, we find N(0) such that x(n,n)(M,N)(alpha) < 0 for all N > N(0), where x(n,n)(M,N)(alpha) is the smallest zero of L(n)((alpha, M, N))(x). Further, we present monotonicity and asymptotic relations of certain functions involving x(n,k)(M,0)(alpha) and x(n,k)(0,N)(alpha). (C) 2010 Elsevier Inc. All rights reserved.
dc.description368
dc.description1
dc.description80
dc.description89
dc.descriptionDireccion General de Investigacion, Ministerio de Educacion y Ciencia of Spain [MTM06-13000-C03-02]
dc.descriptionCoordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
dc.descriptionComunidad de Madrid-Universidad Carlos III de Madrid [CCG07-UC3M/ESP-3339]
dc.descriptionConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.descriptionFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.descriptionCoordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
dc.descriptionConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.descriptionFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.descriptionDireccion General de Investigacion, Ministerio de Educacion y Ciencia of Spain [MTM06-13000-C03-02]
dc.descriptionCAPES [CAPES/DGU 160/08]
dc.descriptionComunidad de Madrid-Universidad Carlos III de Madrid [CCG07-UC3M/ESP-3339]
dc.descriptionCNPq [304830/2006-2]
dc.descriptionFAPESP [03/01874-2, 07/02854-6]
dc.languageen
dc.publisherAcademic Press Inc Elsevier Science
dc.publisherSan Diego
dc.publisherEUA
dc.relationJournal Of Mathematical Analysis And Applications
dc.relationJ. Math. Anal. Appl.
dc.rightsfechado
dc.rightshttp://www.elsevier.com/about/open-access/open-access-policies/article-posting-policy
dc.sourceWeb of Science
dc.subjectOrthogonal polynomials
dc.subjectLaguerre polynomials
dc.subjectSobolev-type orthogonal polynomials
dc.subjectZeros
dc.subjectMonotonicity
dc.subjectAsymptotics
dc.titleMonotonicity of zeros of Laguerre-Sobolev-type orthogonal polynomials
dc.typeArtículos de revistas


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