A class of orthogonal functions given by a three term recurrence formula

dc.contributorUniversidade Estadual Paulista (Unesp)
dc.contributorUniversity of St. Andrews
dc.contributorUniversidad de Granada
dc.date.accessioned2018-12-11T17:01:58Z
dc.date.available2018-12-11T17:01:58Z
dc.date.created2018-12-11T17:01:58Z
dc.date.issued2016-01-01
dc.identifierMathematics of Computation, v. 85, n. 300, p. 1837-1859, 2016.
dc.identifier0025-5718
dc.identifierhttp://hdl.handle.net/11449/172737
dc.identifier10.1090/mcom3041
dc.identifier2-s2.0-84961798887
dc.identifier2-s2.0-84961798887.pdf
dc.identifier8300322452622467
dc.identifier0000-0002-6823-4204
dc.description.abstractWe present a class of functions satisfying a certain orthogonality property for which there also exists a three term recurrence formula. This class of functions, which can be considered as an extension to the class of symmetric orthogonal polynomials on [-1, 1], has a complete connection to the orthogonal polynomials on the unit circle. Interpolatory properties, quadrature rules and other properties based on the zeros of these functions are also considered.
dc.languageeng
dc.relationMathematics of Computation
dc.relation1,939
dc.rightsAcesso aberto
dc.sourceScopus
dc.subjectOrthogonal functions
dc.subjectOrthogonal polynomials on the unit circle
dc.subjectQuadrature rules
dc.subjectSelf-inversive polynomials
dc.subjectThree term recurrence
dc.titleA class of orthogonal functions given by a three term recurrence formula
dc.typeArtículos de revistas


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