A note on totally regular variables and Appell sequences in hypercomplex function theory
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Publication Date: | 2013 |
Other Authors: | , |
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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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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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 |
publisher.none.fl_str_mv |
Springer |
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