Orthogonality for a class of generalised jacobi polynomial

Detalhes bibliográficos
Autor(a) principal: Rodrigues, M. M.
Data de Publicação: 2018
Outros Autores: N. J. Ford, H. Moayyed
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10773/22958
Resumo: This work considers g-Jacobi polynomials, a fractional generalisation of the classical Jacobi polynomials. We discuss the polynomials and compare some of their properties to the classical case. The main result of the paper is to show that one can derive an orthogonality property for a sub-class of g-Jacobi polynomials. The paper concludes with an application in modelling of ophthalmic surfaces.
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spelling Orthogonality for a class of generalised jacobi polynomialJacobi polynomialsApproximationOptic modellingThis work considers g-Jacobi polynomials, a fractional generalisation of the classical Jacobi polynomials. We discuss the polynomials and compare some of their properties to the classical case. The main result of the paper is to show that one can derive an orthogonality property for a sub-class of g-Jacobi polynomials. The paper concludes with an application in modelling of ophthalmic surfaces.Ele-Math's2018-04-23T15:48:29Z2018-01-01T00:00:00Z2018info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/22958eng1847-967710.7153/fdc-2018-08-06Rodrigues, M. M.N. J. FordH. Moayyedinfo:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2024-02-22T11:44:42Zoai:ria.ua.pt:10773/22958Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T02:56:52.213530Repositório 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 Orthogonality for a class of generalised jacobi polynomial
title Orthogonality for a class of generalised jacobi polynomial
spellingShingle Orthogonality for a class of generalised jacobi polynomial
Rodrigues, M. M.
Jacobi polynomials
Approximation
Optic modelling
title_short Orthogonality for a class of generalised jacobi polynomial
title_full Orthogonality for a class of generalised jacobi polynomial
title_fullStr Orthogonality for a class of generalised jacobi polynomial
title_full_unstemmed Orthogonality for a class of generalised jacobi polynomial
title_sort Orthogonality for a class of generalised jacobi polynomial
author Rodrigues, M. M.
author_facet Rodrigues, M. M.
N. J. Ford
H. Moayyed
author_role author
author2 N. J. Ford
H. Moayyed
author2_role author
author
dc.contributor.author.fl_str_mv Rodrigues, M. M.
N. J. Ford
H. Moayyed
dc.subject.por.fl_str_mv Jacobi polynomials
Approximation
Optic modelling
topic Jacobi polynomials
Approximation
Optic modelling
description This work considers g-Jacobi polynomials, a fractional generalisation of the classical Jacobi polynomials. We discuss the polynomials and compare some of their properties to the classical case. The main result of the paper is to show that one can derive an orthogonality property for a sub-class of g-Jacobi polynomials. The paper concludes with an application in modelling of ophthalmic surfaces.
publishDate 2018
dc.date.none.fl_str_mv 2018-04-23T15:48:29Z
2018-01-01T00:00:00Z
2018
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/10773/22958
url http://hdl.handle.net/10773/22958
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 1847-9677
10.7153/fdc-2018-08-06
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Ele-Math's
publisher.none.fl_str_mv Ele-Math's
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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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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