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On the structure of generalized Appell sequences of paravector valued homogeneous monogenic polynomials

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Resumo:The fact that generalized Appell sequences of monogenic polynomials in the setting of hypercomplex function theory also satisfy a corresponding binomial type theorem allows to obtain their explicit structure. Recently it has been obtained a complete characterization in the case of paravector valued homogeneous polynomials of three real variables. The aim of this contribution is the study of paravector valued homogeneous polynomials of four real variables, where new types of generalized Appell sequences could be detected.
Autores principais:Cruz, Carla
Outros Autores:Falcão, M. I.; Malonek, H. R.
Assunto:Homogeneous monogenic polynomials Hypercomplex analysis Appell sets
Ano:2012
País:Portugal
Tipo de documento:comunicação em conferência
Tipo de acesso:acesso aberto
Instituição associada:Universidade do Minho
Idioma:inglês
Origem:RepositóriUM - Universidade do Minho
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author Cruz, Carla
author2 Falcão, M. I.
Malonek, H. R.
author2_role author
author
author_facet Cruz, Carla
Falcão, M. I.
Malonek, H. R.
author_role author
contributor_name_str_mv RepositóriUM - Universidade do Minho
country_str PT
creators_json_txt [{\"Person.name\":\"Cruz, Carla\"},{\"Person.name\":\"Falcão, M. I.\"},{\"Person.name\":\"Malonek, H. R.\"}]
datacite.contributors.contributor.contributorName.fl_str_mv RepositóriUM - Universidade do Minho
datacite.creators.creator.creatorName.fl_str_mv Cruz, Carla
Falcão, M. I.
Malonek, H. R.
datacite.date.Accepted.fl_str_mv 2012-01-01T00:00:00Z
datacite.date.available.fl_str_mv 2013-01-11T13:03:56Z
datacite.date.embargoed.fl_str_mv 2013-01-11T13:03:56Z
datacite.rights.fl_str_mv http://purl.org/coar/access_right/c_abf2
datacite.subjects.subject.fl_str_mv Homogeneous monogenic polynomials
Hypercomplex analysis
Appell sets
datacite.titles.title.fl_str_mv On the structure of generalized Appell sequences of paravector valued homogeneous monogenic polynomials
dc.contributor.none.fl_str_mv RepositóriUM - Universidade do Minho
dc.creator.none.fl_str_mv Cruz, Carla
Falcão, M. I.
Malonek, H. R.
dc.date.Accepted.fl_str_mv 2012-01-01T00:00:00Z
dc.date.available.fl_str_mv 2013-01-11T13:03:56Z
dc.date.embargoed.fl_str_mv 2013-01-11T13:03:56Z
dc.format.none.fl_str_mv application/pdf
dc.identifier.none.fl_str_mv https://hdl.handle.net/1822/22534
dc.language.none.fl_str_mv eng
dc.rights.none.fl_str_mv http://purl.org/coar/access_right/c_abf2
dc.subject.none.fl_str_mv Homogeneous monogenic polynomials
Hypercomplex analysis
Appell sets
dc.title.fl_str_mv On the structure of generalized Appell sequences of paravector valued homogeneous monogenic polynomials
dc.type.none.fl_str_mv http://purl.org/coar/resource_type/c_5794
description The fact that generalized Appell sequences of monogenic polynomials in the setting of hypercomplex function theory also satisfy a corresponding binomial type theorem allows to obtain their explicit structure. Recently it has been obtained a complete characterization in the case of paravector valued homogeneous polynomials of three real variables. The aim of this contribution is the study of paravector valued homogeneous polynomials of four real variables, where new types of generalized Appell sequences could be detected.
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eu_rights_str_mv openAccess
format conferencePaper
fulltext.url.fl_str_mv https://repositorium.uminho.pt/bitstreams/d73eb08b-f91d-4980-940d-b6b9e69828c2/download
id rum_ebf2ec7939995d37a2429c66bd232cdc
identifier.url.fl_str_mv https://hdl.handle.net/1822/22534
instacron_str repositorium
institution Universidade do Minho
instname_str Universidade do Minho
language eng
network_acronym_str rum
network_name_str RepositóriUM - Universidade do Minho
oai_identifier_str oai:repositorium.uminho.pt:1822/22534
organization_str_mv urn:organizationAcronym:repositorium
person_str_mv Cruz, Carla
Falcão, M. I.
Malonek, H. R.
publishDate 2012
reponame_str RepositóriUM - Universidade do Minho
repository_id_str urn:repositoryAcronym:rum
service_str_mv urn:repositoryAcronym:rum
spelling engporThe fact that generalized Appell sequences of monogenic polynomials in the setting of hypercomplex function theory also satisfy a corresponding binomial type theorem allows to obtain their explicit structure. Recently it has been obtained a complete characterization in the case of paravector valued homogeneous polynomials of three real variables. The aim of this contribution is the study of paravector valued homogeneous polynomials of four real variables, where new types of generalized Appell sequences could be detected.application/pdfporOn the structure of generalized Appell sequences of paravector valued homogeneous monogenic polynomialsCruz, CarlaFalcão, M. I.Malonek, H. R.HostingInstitutionOrganizationalRepositóriUM - Universidade do Minhoe-mailmailto:repositorium@usdb.uminho.ptrepositorium@usdb.uminho.ptISBNIsPartOf978-0-7354-1091-6ISSNIsPartOf0094-243XDOIIsPartOf10.1063/1.47561182013-01-11T13:03:56Z20122012-01-01T00:00:00ZHandlehttps://hdl.handle.net/1822/22534http://purl.org/coar/access_right/c_abf2open accessHomogeneous monogenic polynomialsHypercomplex analysisAppell sets106143 bytesother research producthttp://purl.org/coar/resource_type/c_5794conference paperhttp://purl.org/coar/access_right/c_abf2application/pdffulltexthttps://repositorium.uminho.pt/bitstreams/d73eb08b-f91d-4980-940d-b6b9e69828c2/download
spellingShingle On the structure of generalized Appell sequences of paravector valued homogeneous monogenic polynomials
Cruz, Carla
Homogeneous monogenic polynomials
Hypercomplex analysis
Appell sets
status SINGLETON
subject.fl_str_mv Homogeneous monogenic polynomials
Hypercomplex analysis
Appell sets
title On the structure of generalized Appell sequences of paravector valued homogeneous monogenic polynomials
title_full On the structure of generalized Appell sequences of paravector valued homogeneous monogenic polynomials
title_fullStr On the structure of generalized Appell sequences of paravector valued homogeneous monogenic polynomials
title_full_unstemmed On the structure of generalized Appell sequences of paravector valued homogeneous monogenic polynomials
title_short On the structure of generalized Appell sequences of paravector valued homogeneous monogenic polynomials
title_sort On the structure of generalized Appell sequences of paravector valued homogeneous monogenic polynomials
topic Homogeneous monogenic polynomials
Hypercomplex analysis
Appell sets
topic_facet Homogeneous monogenic polynomials
Hypercomplex analysis
Appell sets
url https://hdl.handle.net/1822/22534
visible 1