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

Bibliographic Details
Main Author: Cruz, Carla
Publication Date: 2012
Other Authors: Falcão, M. I., Malonek, H. R.
Language: eng
Source: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Download full: http://hdl.handle.net/1822/22534
Summary: 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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spelling On the structure of generalized Appell sequences of paravector valued homogeneous monogenic polynomialsHomogeneous monogenic polynomialsHypercomplex analysisAppell setsThe 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.FCTUniversidade do MinhoCruz, CarlaFalcão, M. I.Malonek, H. R.20122012-01-01T00:00:00Zconference paperinfo:eu-repo/semantics/publishedVersionapplication/pdfhttp://hdl.handle.net/1822/22534eng978-0-7354-1091-60094-243X10.1063/1.4756118http://proceedings.aip.org/resource/2/apcpcs/1479/1/283_1info:eu-repo/semantics/openAccessreponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiainstacron:RCAAP2024-05-11T06:49:54Zoai:repositorium.sdum.uminho.pt:1822/22534Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-28T16:05:52.328410Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiafalse
dc.title.none.fl_str_mv On the structure of generalized Appell sequences of paravector valued homogeneous monogenic polynomials
title On the structure of generalized Appell sequences of paravector valued homogeneous monogenic polynomials
spellingShingle On the structure of generalized Appell sequences of paravector valued homogeneous monogenic polynomials
Cruz, Carla
Homogeneous monogenic polynomials
Hypercomplex analysis
Appell sets
title_short 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_sort On the structure of generalized Appell sequences of paravector valued homogeneous monogenic polynomials
author Cruz, Carla
author_facet Cruz, Carla
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 Cruz, Carla
Falcão, M. I.
Malonek, H. R.
dc.subject.por.fl_str_mv Homogeneous monogenic polynomials
Hypercomplex analysis
Appell sets
topic Homogeneous monogenic polynomials
Hypercomplex analysis
Appell sets
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.
publishDate 2012
dc.date.none.fl_str_mv 2012
2012-01-01T00:00:00Z
dc.type.driver.fl_str_mv conference paper
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/1822/22534
url http://hdl.handle.net/1822/22534
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 978-0-7354-1091-6
0094-243X
10.1063/1.4756118
http://proceedings.aip.org/resource/2/apcpcs/1479/1/283_1
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.source.none.fl_str_mv reponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron:RCAAP
instname_str FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron_str RCAAP
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reponame_str Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
collection Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
repository.name.fl_str_mv Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
repository.mail.fl_str_mv info@rcaap.pt
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