On two models of orthogonal polynomials and their applications

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dc.contributor.author Arvesú Carballo, Jorge
dc.contributor.author Marcellán Español, Francisco José
dc.date.accessioned 2009-12-10T10:19:30Z
dc.date.available 2009-12-10T10:19:30Z
dc.date.issued 2003-03
dc.identifier.bibliographicCitation Boletin Sociedad Española de Matemática Aplicada, 2003, n. 23, p. 35-71
dc.identifier.issn 1575-9822
dc.identifier.uri http://hdl.handle.net/10016/5993
dc.description 37 pages, no figures.-- MSC2000 codes: 33C45, 42C05.
dc.description.abstract This contribution deals with some models of orthogonal polynomials as well as their applications in several areas of mathematics. Some new trends in the theory of orthogonal polynomials are summarized. In particular, we emphasize on two kinds of orthogonality, i.e., the standard orthogonality in the unit circle and a non standard one, which is called multi-orthogonality. Both have attracted the interest of researchers during the past ten years.
dc.description.sponsorship This work has been supported by Dirección General de Investigación (MCyT) of Spain under grant BFM2000-0206-C04-01 and INTAS project 2000-272. J. Arvesú was partially supported by the Dirección General de Investigación (Comunidad Autónoma de Madrid).
dc.format.mimetype application/pdf
dc.language.iso eng
dc.publisher Sociedad Española de Matemática Aplicada (SEMA)
dc.rights © Sociedad Española de Matemática Aplicada
dc.subject.other Linear functionals
dc.subject.other Orthogonal polynomials
dc.subject.other Stieltjes and Markov functions
dc.subject.other Rational approximation
dc.subject.other Hermite-Padé approximation
dc.subject.other Multiple orthogonal polynomials
dc.subject.other Trigonometric moment problem
dc.subject.other Quadratures on the unit circle
dc.subject.other Linear prediction
dc.subject.other Electrostatics of zeros
dc.title On two models of orthogonal polynomials and their applications
dc.type article
dc.type.review PeerReviewed
dc.description.status Publicado
dc.relation.publisherversion http://www.sema.org.es/ojs/index.php?journal=sema
dc.subject.eciencia Matemáticas
dc.rights.accessRights openAccess
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