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

Detalhes bibliográficos
Autor(a) principal: Bracciali, C. F. [UNESP]
Data de Publicação: 2016
Outros Autores: McCabe, J. H., Pérez, T. E., Sri Ranga, A.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1090/mcom3041
http://hdl.handle.net/11449/172737
Resumo: We 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.
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spelling A class of orthogonal functions given by a three term recurrence formulaOrthogonal functionsOrthogonal polynomials on the unit circleQuadrature rulesSelf-inversive polynomialsThree term recurrenceWe 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.Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Departamento de Matemática Aplicada IBILCE UNESP - Universidade Estadual PaulistaDepartment of Applied Mathematics School of Mathematics University of St. AndrewsDepartamento de Matemática Aplicada Universidad de GranadaDepartamento de Matemática Aplicada IBILCE UNESP - Universidade Estadual PaulistaFAPESP: 2009/13832-9Universidade Estadual Paulista (Unesp)University of St. AndrewsUniversidad de GranadaBracciali, C. F. [UNESP]McCabe, J. H.Pérez, T. E.Sri Ranga, A.2018-12-11T17:01:58Z2018-12-11T17:01:58Z2016-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article1837-1859application/pdfhttp://dx.doi.org/10.1090/mcom3041Mathematics of Computation, v. 85, n. 300, p. 1837-1859, 2016.0025-5718http://hdl.handle.net/11449/17273710.1090/mcom30412-s2.0-849617988872-s2.0-84961798887.pdf83003224526224670000-0002-6823-4204Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengMathematics of Computation1,939info:eu-repo/semantics/openAccess2023-11-11T06:10:44Zoai:repositorio.unesp.br:11449/172737Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T17:22:29.759517Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv A class of orthogonal functions given by a three term recurrence formula
title A class of orthogonal functions given by a three term recurrence formula
spellingShingle A class of orthogonal functions given by a three term recurrence formula
Bracciali, C. F. [UNESP]
Orthogonal functions
Orthogonal polynomials on the unit circle
Quadrature rules
Self-inversive polynomials
Three term recurrence
title_short A class of orthogonal functions given by a three term recurrence formula
title_full A class of orthogonal functions given by a three term recurrence formula
title_fullStr A class of orthogonal functions given by a three term recurrence formula
title_full_unstemmed A class of orthogonal functions given by a three term recurrence formula
title_sort A class of orthogonal functions given by a three term recurrence formula
author Bracciali, C. F. [UNESP]
author_facet Bracciali, C. F. [UNESP]
McCabe, J. H.
Pérez, T. E.
Sri Ranga, A.
author_role author
author2 McCabe, J. H.
Pérez, T. E.
Sri Ranga, A.
author2_role author
author
author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (Unesp)
University of St. Andrews
Universidad de Granada
dc.contributor.author.fl_str_mv Bracciali, C. F. [UNESP]
McCabe, J. H.
Pérez, T. E.
Sri Ranga, A.
dc.subject.por.fl_str_mv Orthogonal functions
Orthogonal polynomials on the unit circle
Quadrature rules
Self-inversive polynomials
Three term recurrence
topic Orthogonal functions
Orthogonal polynomials on the unit circle
Quadrature rules
Self-inversive polynomials
Three term recurrence
description We 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.
publishDate 2016
dc.date.none.fl_str_mv 2016-01-01
2018-12-11T17:01:58Z
2018-12-11T17:01:58Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://dx.doi.org/10.1090/mcom3041
Mathematics of Computation, v. 85, n. 300, p. 1837-1859, 2016.
0025-5718
http://hdl.handle.net/11449/172737
10.1090/mcom3041
2-s2.0-84961798887
2-s2.0-84961798887.pdf
8300322452622467
0000-0002-6823-4204
url http://dx.doi.org/10.1090/mcom3041
http://hdl.handle.net/11449/172737
identifier_str_mv Mathematics of Computation, v. 85, n. 300, p. 1837-1859, 2016.
0025-5718
10.1090/mcom3041
2-s2.0-84961798887
2-s2.0-84961798887.pdf
8300322452622467
0000-0002-6823-4204
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Mathematics of Computation
1,939
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 1837-1859
application/pdf
dc.source.none.fl_str_mv Scopus
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
_version_ 1808128800051953664

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