An electrostatic interpretation of the zeros of the Freud-type orthogonal polynomials

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Show simple item record Garrido, Ángeles Arvesu Carballo, Jorge Marcellán Español, Francisco José 2010-01-15T08:29:15Z 2010-01-15T08:29:15Z 2005
dc.identifier.bibliographicCitation Electronic Transactions on Numerical Analysis, 2005, vol. 19, p. 37-47
dc.identifier.issn 1068-9613
dc.description 11 pages, no figures.-- AMS1991 codes: Primary 33C45, secondary 42C05.
dc.description MR#: MR2149267 (2006e:33007)
dc.description Zbl#: Zbl 1078.42017
dc.description.abstract Polynomials orthogonal with respect to a perturbation of the Freud weight function, by the addition of a mass point at zero, are considered. These polynomials, called Freud-type orthogonal polynomials, satisfy a second-order linear differential equation with varying polynomial coefficients. It plays an important role in the electrostatic interpretation of the distributions of zeros of the corresponding orthogonal polynomials.
dc.description.sponsorship The research of J. Arvesú and F. Marcellán was partially supported by Ministerio de Ciencia y Tecnología of Spain under grant BFM2003-06335-C03-02.
dc.format.mimetype application/pdf
dc.language.iso eng
dc.publisher Kent State University
dc.rights © Kent State University
dc.subject.other Freud weights
dc.subject.other Orthogonal polynomials
dc.subject.other Zeros
dc.subject.other Potential theory
dc.subject.other Semiclassical linear functional
dc.title An electrostatic interpretation of the zeros of the Freud-type orthogonal polynomials
dc.type article PeerReviewed
dc.description.status Publicado
dc.subject.eciencia Matemáticas
dc.rights.accessRights openAccess
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