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On classical orthogonal polynomials and the Cholesky factorization of a class of Hankel matrices

dc.contributor.authorMarriaga, Misael E.
dc.contributor.authorVera de Salas, Guillermo
dc.contributor.authorLatorre, Marta
dc.contributor.authorMuñóz Alcázar, Rubén
dc.date.accessioned2023-07-28T10:33:50Z
dc.date.available2023-07-28T10:33:50Z
dc.date.issued2023-04-11
dc.identifier.citationMisael E. Marriaga, Guillermo Vera de Salas, Marta Latorre, and Rubén Muñoz Alcázar, On classical orthogonal polynomials and the Cholesky factorization of a class of Hankel matrices, Bulletin of Mathematical Sciences (2023)es
dc.identifier.issn1664-3615
dc.identifier.urihttps://hdl.handle.net/10115/24081
dc.description.abstractClassical moment functionals (Hermite, Laguerre, Jacobi, Bessel) can be characterized as those linear functionals whose moments satisfy a second-order linear recurrence relation. In this work, we use this characterization to link the theory of classical orthogonal polynomials and the study of Hankel matrices whose entries satisfy a second-order linear recurrence relation. Using the recurrent character of the entries of such Hankel matrices, we give several characterizations of the triangular and diagonal matrices involved in their Cholesky factorization and connect them with a corresponding characterization of classical orthogonal polynomials.es
dc.language.isoenges
dc.publisherWorld Scientifices
dc.rightsAttribution 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/*
dc.subjectorthogonal polynomialses
dc.subjectHankel matriceses
dc.subjectCholesky factorizationes
dc.titleOn classical orthogonal polynomials and the Cholesky factorization of a class of Hankel matriceses
dc.typeinfo:eu-repo/semantics/articlees
dc.identifier.doi10.1142/S1664360723500066es
dc.rights.accessRightsinfo:eu-repo/semantics/openAccesses


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Attribution 4.0 InternacionalExcept where otherwise noted, this item's license is described as Attribution 4.0 Internacional