Monomial and Rodrigues orthogonal polynomials on the cone
Autor(a) principal: | |
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Data de Publicação: | 2023 |
Outros Autores: | , , |
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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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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7160 |
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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 |
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Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
instacron_str |
RCAAP |
institution |
RCAAP |
reponame_str |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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 |
repository.mail.fl_str_mv |
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1799137724144287744 |