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, M. I., Malonek, H. R.
Language: eng
Source: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Download full: http://hdl.handle.net/1822/25094
Summary: Series title : Lecture notes in computer science, vol. 7971, ISSN 0302-9743
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spelling A note on totally regular variables and Appell sequences in hypercomplex function theoryTotally regular variablesAppell sequencesHypercomplex differentiable functionsSeries title : Lecture notes in computer science, vol. 7971, ISSN 0302-9743The 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.Fundação para a Ciência e a Tecnologia (FCT)SpringerUniversidade do MinhoCruz, CarlaFalcão, M. I.Malonek, H. R.20132013-01-01T00:00:00Zconference paperinfo:eu-repo/semantics/publishedVersionapplication/pdfhttp://hdl.handle.net/1822/25094eng978-3-642-39636-60302-974310.1007/978-3-642-39637-3-24www.springerlink.cominfo: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:RCAAP2024-05-11T07:31:10Zoai:repositorium.sdum.uminho.pt:1822/25094Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-28T16:30:08.393859Repositórios 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, 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 Totally regular variables
Appell sequences
Hypercomplex differentiable functions
topic Totally regular variables
Appell sequences
Hypercomplex differentiable functions
description Series title : Lecture notes in computer science, vol. 7971, ISSN 0302-9743
publishDate 2013
dc.date.none.fl_str_mv 2013
2013-01-01T00:00:00Z
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/1822/25094
url http://hdl.handle.net/1822/25094
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
www.springerlink.com
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eu_rights_str_mv openAccess
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dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
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