Matrix representations of a special polynomial sequence in arbitrary dimension

Detalhes bibliográficos
Autor(a) principal: Cação, I.
Data de Publicação: 2012
Outros Autores: Falcão, M. I., Malonek, H. R.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/1822/20134
Resumo: This paper provides an insight into different structures of a special polynomial sequence of binomial type in higher dimensions with values in a Clifford algebra. The elements of the special polynomial sequence are homogeneous hypercomplex differentiable (monogenic) functions of different degrees and their matrix representation allows to prove their recursive construction in analogy to the complex power functions. This property can somehow be considered as a compensation for the loss of multiplicativity caused by the non-commutativity of the underlying algebra.
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spelling Matrix representations of a special polynomial sequence in arbitrary dimensionSpecial polynomial sequenceMonogenic functionMatrix representationScience & TechnologyThis paper provides an insight into different structures of a special polynomial sequence of binomial type in higher dimensions with values in a Clifford algebra. The elements of the special polynomial sequence are homogeneous hypercomplex differentiable (monogenic) functions of different degrees and their matrix representation allows to prove their recursive construction in analogy to the complex power functions. This property can somehow be considered as a compensation for the loss of multiplicativity caused by the non-commutativity of the underlying algebra.Fundação para a Ciência e a Tecnologia (FCT)Heldermann VerlagUniversidade do MinhoCação, I.Falcão, M. I.Malonek, H. R.20122012-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/1822/20134eng1617-9447http://www.heldermann-verlag.de/cmf/cmf12/cmf12025.pdfinfo: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:RCAAP2023-07-21T12:50:58Zoai:repositorium.sdum.uminho.pt:1822/20134Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T19:49:44.864912Repositório 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 Matrix representations of a special polynomial sequence in arbitrary dimension
title Matrix representations of a special polynomial sequence in arbitrary dimension
spellingShingle Matrix representations of a special polynomial sequence in arbitrary dimension
Cação, I.
Special polynomial sequence
Monogenic function
Matrix representation
Science & Technology
title_short Matrix representations of a special polynomial sequence in arbitrary dimension
title_full Matrix representations of a special polynomial sequence in arbitrary dimension
title_fullStr Matrix representations of a special polynomial sequence in arbitrary dimension
title_full_unstemmed Matrix representations of a special polynomial sequence in arbitrary dimension
title_sort Matrix representations of a special polynomial sequence in arbitrary dimension
author Cação, I.
author_facet Cação, I.
Falcão, M. I.
Malonek, H. R.
author_role author
author2 Falcão, M. I.
Malonek, H. R.
author2_role author
author
dc.contributor.none.fl_str_mv Universidade do Minho
dc.contributor.author.fl_str_mv Cação, I.
Falcão, M. I.
Malonek, H. R.
dc.subject.por.fl_str_mv Special polynomial sequence
Monogenic function
Matrix representation
Science & Technology
topic Special polynomial sequence
Monogenic function
Matrix representation
Science & Technology
description This paper provides an insight into different structures of a special polynomial sequence of binomial type in higher dimensions with values in a Clifford algebra. The elements of the special polynomial sequence are homogeneous hypercomplex differentiable (monogenic) functions of different degrees and their matrix representation allows to prove their recursive construction in analogy to the complex power functions. This property can somehow be considered as a compensation for the loss of multiplicativity caused by the non-commutativity of the underlying algebra.
publishDate 2012
dc.date.none.fl_str_mv 2012
2012-01-01T00:00:00Z
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/1822/20134
url http://hdl.handle.net/1822/20134
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 1617-9447
http://www.heldermann-verlag.de/cmf/cmf12/cmf12025.pdf
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 Heldermann Verlag
publisher.none.fl_str_mv Heldermann Verlag
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
instacron_str RCAAP
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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
repository.mail.fl_str_mv
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