Monomial and Rodrigues orthogonal polynomials on the cone

Detalhes bibliográficos
Autor(a) principal: Aktaş, Rabia
Data de Publicação: 2023
Outros Autores: Branquinho, Amílcar, Foulquié-Moreno, Ana, Xu, Yuan
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10773/36606
Resumo: We study two families of orthogonal polynomials with respect to some weight on the cone. The first family are monomials polynomials and we provide an explicit constructions them. The second family consists of orthogonal polynomials defined by the Rodrigues type formula when the scalar measure defining our measure on the cone is the Laguerre or the Jacobi weight, which satisfies a generating function in both cases. The two families of polynomials are partially biorthogonal.
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spelling Monomial and Rodrigues orthogonal polynomials on the coneOrthogonal polynomialsConesMonomial polynomialsRodrigues formulaLaguerre and JacobiWe study two families of orthogonal polynomials with respect to some weight on the cone. The first family are monomials polynomials and we provide an explicit constructions them. The second family consists of orthogonal polynomials defined by the Rodrigues type formula when the scalar measure defining our measure on the cone is the Laguerre or the Jacobi weight, which satisfies a generating function in both cases. The two families of polynomials are partially biorthogonal.Elsevier2025-06-15T00:00:00Z2023-06-15T00:00:00Z2023-06-15info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/36606eng0022-247X10.1016/j.jmaa.2022.126977Aktaş, RabiaBranquinho, AmílcarFoulquié-Moreno, AnaXu, Yuaninfo:eu-repo/semantics/embargoedAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2024-02-22T12:09:11Zoai:ria.ua.pt:10773/36606Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T03:06:51.297183Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Monomial and Rodrigues orthogonal polynomials on the cone
title Monomial and Rodrigues orthogonal polynomials on the cone
spellingShingle Monomial and Rodrigues orthogonal polynomials on the cone
Aktaş, Rabia
Orthogonal polynomials
Cones
Monomial polynomials
Rodrigues formula
Laguerre and Jacobi
title_short Monomial and Rodrigues orthogonal polynomials on the cone
title_full Monomial and Rodrigues orthogonal polynomials on the cone
title_fullStr Monomial and Rodrigues orthogonal polynomials on the cone
title_full_unstemmed Monomial and Rodrigues orthogonal polynomials on the cone
title_sort Monomial and Rodrigues orthogonal polynomials on the cone
author Aktaş, Rabia
author_facet Aktaş, Rabia
Branquinho, Amílcar
Foulquié-Moreno, Ana
Xu, Yuan
author_role author
author2 Branquinho, Amílcar
Foulquié-Moreno, Ana
Xu, Yuan
author2_role author
author
author
dc.contributor.author.fl_str_mv Aktaş, Rabia
Branquinho, Amílcar
Foulquié-Moreno, Ana
Xu, Yuan
dc.subject.por.fl_str_mv Orthogonal polynomials
Cones
Monomial polynomials
Rodrigues formula
Laguerre and Jacobi
topic Orthogonal polynomials
Cones
Monomial polynomials
Rodrigues formula
Laguerre and Jacobi
description We study two families of orthogonal polynomials with respect to some weight on the cone. The first family are monomials polynomials and we provide an explicit constructions them. The second family consists of orthogonal polynomials defined by the Rodrigues type formula when the scalar measure defining our measure on the cone is the Laguerre or the Jacobi weight, which satisfies a generating function in both cases. The two families of polynomials are partially biorthogonal.
publishDate 2023
dc.date.none.fl_str_mv 2023-06-15T00:00:00Z
2023-06-15
2025-06-15T00:00:00Z
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://hdl.handle.net/10773/36606
url http://hdl.handle.net/10773/36606
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0022-247X
10.1016/j.jmaa.2022.126977
dc.rights.driver.fl_str_mv info:eu-repo/semantics/embargoedAccess
eu_rights_str_mv embargoedAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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