A note on totally regular variables and Appell sequences in hypercomplex function theory

Bibliographic Details
Main Author: Cruz, Carla
Publication Date: 2013
Other Authors: Falcão, Maria Irene, Malonek, Helmuth Robert
Language: eng
Source: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Download full: http://hdl.handle.net/10773/15234
Summary: The aim of our contribution is to call attention to the relationship between totally regular variables, introduced by R. Delanghe in 1970, and Appell sequences with respect to the hypercomplex derivative. Under some natural normalization condition the set of all paravector valued totally regular variables defined in the three dimensional Euclidean space will be completely characterized. Together with their integer powers they constitute automatically Appell sequences, since they are isomorphic to the complex variables.
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spelling A note on totally regular variables and Appell sequences in hypercomplex function theoryTotally regular variablesAppell sequencesHypercomplex differentiable functionsThe aim of our contribution is to call attention to the relationship between totally regular variables, introduced by R. Delanghe in 1970, and Appell sequences with respect to the hypercomplex derivative. Under some natural normalization condition the set of all paravector valued totally regular variables defined in the three dimensional Euclidean space will be completely characterized. Together with their integer powers they constitute automatically Appell sequences, since they are isomorphic to the complex variables.Springer Berlin Heidelberg2016-03-02T10:44:26Z2013-01-01T00:00:00Z2013conference objectinfo:eu-repo/semantics/publishedVersionapplication/pdfhttp://hdl.handle.net/10773/15234eng978-3-642-39636-60302-974310.1007/978-3-642-39637-3_24Cruz, CarlaFalcão, Maria IreneMalonek, Helmuth Robertinfo: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:RCAAP2024-05-06T03:56:15Zoai:ria.ua.pt:10773/15234Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-28T13:51:33.272897Repositórios 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 A note on totally regular variables and Appell sequences in hypercomplex function theory
title A note on totally regular variables and Appell sequences in hypercomplex function theory
spellingShingle A note on totally regular variables and Appell sequences in hypercomplex function theory
Cruz, Carla
Totally regular variables
Appell sequences
Hypercomplex differentiable functions
title_short A note on totally regular variables and Appell sequences in hypercomplex function theory
title_full A note on totally regular variables and Appell sequences in hypercomplex function theory
title_fullStr A note on totally regular variables and Appell sequences in hypercomplex function theory
title_full_unstemmed A note on totally regular variables and Appell sequences in hypercomplex function theory
title_sort A note on totally regular variables and Appell sequences in hypercomplex function theory
author Cruz, Carla
author_facet Cruz, Carla
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 Cruz, Carla
Falcão, Maria Irene
Malonek, Helmuth Robert
dc.subject.por.fl_str_mv Totally regular variables
Appell sequences
Hypercomplex differentiable functions
topic Totally regular variables
Appell sequences
Hypercomplex differentiable functions
description The aim of our contribution is to call attention to the relationship between totally regular variables, introduced by R. Delanghe in 1970, and Appell sequences with respect to the hypercomplex derivative. Under some natural normalization condition the set of all paravector valued totally regular variables defined in the three dimensional Euclidean space will be completely characterized. Together with their integer powers they constitute automatically Appell sequences, since they are isomorphic to the complex variables.
publishDate 2013
dc.date.none.fl_str_mv 2013-01-01T00:00:00Z
2013
2016-03-02T10:44:26Z
dc.type.driver.fl_str_mv conference object
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10773/15234
url http://hdl.handle.net/10773/15234
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 978-3-642-39636-6
0302-9743
10.1007/978-3-642-39637-3_24
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 Springer Berlin Heidelberg
publisher.none.fl_str_mv Springer Berlin Heidelberg
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
institution RCAAP
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
_version_ 1833594137122701312

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