Laguerre derivative and monogenic Laguerre polynomials: an operational approach
Autor(a) principal: | |
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Data de Publicação: | 2011 |
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/10773/15315 |
Resumo: | Hypercomplex function theory generalizes the theory of holomorphic functions of one complex variable by using Clifford Algebras and provides the fundamentals of Clifford Analysis as a refinement of Harmonic Analysis in higher dimensions. We define the Laguerre derivative operator in hypercomplex context and by using operational techniques we construct generalized hypercomplex monogenic Laguerre polynomials. Moreover, Laguerre-type exponentials of order mm are defined. |
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Laguerre derivative and monogenic Laguerre polynomials: an operational approachGeneralized Laguerre polynomialsExponential operatorsFunctions of hypercomplex variablesHypercomplex function theory generalizes the theory of holomorphic functions of one complex variable by using Clifford Algebras and provides the fundamentals of Clifford Analysis as a refinement of Harmonic Analysis in higher dimensions. We define the Laguerre derivative operator in hypercomplex context and by using operational techniques we construct generalized hypercomplex monogenic Laguerre polynomials. Moreover, Laguerre-type exponentials of order mm are defined.Elsevier2016-03-16T15:51:16Z2011-03-01T00:00:00Z2011-03info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/15315eng0895-717710.1016/j.mcm.2010.11.071Cação, IsabelFalcão, Maria IreneMalonek, Helmuth Robertinfo: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:RCAAP2024-02-22T11:28:07Zoai:ria.ua.pt:10773/15315Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T02:50:38.065266Repositório 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 |
Laguerre derivative and monogenic Laguerre polynomials: an operational approach |
title |
Laguerre derivative and monogenic Laguerre polynomials: an operational approach |
spellingShingle |
Laguerre derivative and monogenic Laguerre polynomials: an operational approach Cação, Isabel Generalized Laguerre polynomials Exponential operators Functions of hypercomplex variables |
title_short |
Laguerre derivative and monogenic Laguerre polynomials: an operational approach |
title_full |
Laguerre derivative and monogenic Laguerre polynomials: an operational approach |
title_fullStr |
Laguerre derivative and monogenic Laguerre polynomials: an operational approach |
title_full_unstemmed |
Laguerre derivative and monogenic Laguerre polynomials: an operational approach |
title_sort |
Laguerre derivative and monogenic Laguerre polynomials: an operational approach |
author |
Cação, Isabel |
author_facet |
Cação, Isabel Falcão, Maria Irene Malonek, Helmuth Robert |
author_role |
author |
author2 |
Falcão, Maria Irene Malonek, Helmuth Robert |
author2_role |
author author |
dc.contributor.author.fl_str_mv |
Cação, Isabel Falcão, Maria Irene Malonek, Helmuth Robert |
dc.subject.por.fl_str_mv |
Generalized Laguerre polynomials Exponential operators Functions of hypercomplex variables |
topic |
Generalized Laguerre polynomials Exponential operators Functions of hypercomplex variables |
description |
Hypercomplex function theory generalizes the theory of holomorphic functions of one complex variable by using Clifford Algebras and provides the fundamentals of Clifford Analysis as a refinement of Harmonic Analysis in higher dimensions. We define the Laguerre derivative operator in hypercomplex context and by using operational techniques we construct generalized hypercomplex monogenic Laguerre polynomials. Moreover, Laguerre-type exponentials of order mm are defined. |
publishDate |
2011 |
dc.date.none.fl_str_mv |
2011-03-01T00:00:00Z 2011-03 2016-03-16T15:51:16Z |
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/10773/15315 |
url |
http://hdl.handle.net/10773/15315 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
0895-7177 10.1016/j.mcm.2010.11.071 |
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 |
Elsevier |
publisher.none.fl_str_mv |
Elsevier |
dc.source.none.fl_str_mv |
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Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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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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1799137556548288512 |