Hypercomplex geometric derivative from a Cauchy-like integral formula

Detalhes bibliográficos
Autor(a) principal: Borges, M. F. [UNESP]
Data de Publicação: 2011
Outros Autores: Figueiredo, A. D., Marão, J. A.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://www.ijpam.eu/contents/2011-68-1/5/5.pdf
http://hdl.handle.net/11449/72381
Resumo: The derivation and integration of hipercomplex functions have been investigated along the years, see [7], [11], [14]. The main purpose of this brief article is to give a geometrical interpretation for quaternionic derivatives, based on a recent determination of a Cauchy-like formula for quaternions, see [3]. © 2011 Academic Publications.
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spelling Hypercomplex geometric derivative from a Cauchy-like integral formulaCauchy integralHypercomplex geometric derivativeQuaternionsThe derivation and integration of hipercomplex functions have been investigated along the years, see [7], [11], [14]. The main purpose of this brief article is to give a geometrical interpretation for quaternionic derivatives, based on a recent determination of a Cauchy-like formula for quaternions, see [3]. © 2011 Academic Publications.Department of Computing São Paulo State University - UNESP São José do Rio Preto Campus, São José do Rio Preto, SP, 15054-000Institute of Physics University of Brasilia - UnB, Brasília, 70919-970Department of Computing São Paulo State University - UNESP São José do Rio Preto Campus, São José do Rio Preto, SP, 15054-000Universidade Estadual Paulista (Unesp)Universidade de Brasília (UnB)Borges, M. F. [UNESP]Figueiredo, A. D.Marão, J. A.2014-05-27T11:25:51Z2014-05-27T11:25:51Z2011-04-12info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article55-59application/pdfhttp://www.ijpam.eu/contents/2011-68-1/5/5.pdfInternational Journal of Pure and Applied Mathematics, v. 68, n. 1, p. 55-59, 2011.1311-8080http://hdl.handle.net/11449/723812-s2.0-799537641962-s2.0-79953764196.pdfScopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengInternational Journal of Pure and Applied Mathematics0,139info:eu-repo/semantics/openAccess2023-12-15T06:19:39Zoai:repositorio.unesp.br:11449/72381Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462023-12-15T06:19:39Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Hypercomplex geometric derivative from a Cauchy-like integral formula
title Hypercomplex geometric derivative from a Cauchy-like integral formula
spellingShingle Hypercomplex geometric derivative from a Cauchy-like integral formula
Borges, M. F. [UNESP]
Cauchy integral
Hypercomplex geometric derivative
Quaternions
title_short Hypercomplex geometric derivative from a Cauchy-like integral formula
title_full Hypercomplex geometric derivative from a Cauchy-like integral formula
title_fullStr Hypercomplex geometric derivative from a Cauchy-like integral formula
title_full_unstemmed Hypercomplex geometric derivative from a Cauchy-like integral formula
title_sort Hypercomplex geometric derivative from a Cauchy-like integral formula
author Borges, M. F. [UNESP]
author_facet Borges, M. F. [UNESP]
Figueiredo, A. D.
Marão, J. A.
author_role author
author2 Figueiredo, A. D.
Marão, J. A.
author2_role author
author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (Unesp)
Universidade de Brasília (UnB)
dc.contributor.author.fl_str_mv Borges, M. F. [UNESP]
Figueiredo, A. D.
Marão, J. A.
dc.subject.por.fl_str_mv Cauchy integral
Hypercomplex geometric derivative
Quaternions
topic Cauchy integral
Hypercomplex geometric derivative
Quaternions
description The derivation and integration of hipercomplex functions have been investigated along the years, see [7], [11], [14]. The main purpose of this brief article is to give a geometrical interpretation for quaternionic derivatives, based on a recent determination of a Cauchy-like formula for quaternions, see [3]. © 2011 Academic Publications.
publishDate 2011
dc.date.none.fl_str_mv 2011-04-12
2014-05-27T11:25:51Z
2014-05-27T11:25:51Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://www.ijpam.eu/contents/2011-68-1/5/5.pdf
International Journal of Pure and Applied Mathematics, v. 68, n. 1, p. 55-59, 2011.
1311-8080
http://hdl.handle.net/11449/72381
2-s2.0-79953764196
2-s2.0-79953764196.pdf
url http://www.ijpam.eu/contents/2011-68-1/5/5.pdf
http://hdl.handle.net/11449/72381
identifier_str_mv International Journal of Pure and Applied Mathematics, v. 68, n. 1, p. 55-59, 2011.
1311-8080
2-s2.0-79953764196
2-s2.0-79953764196.pdf
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv International Journal of Pure and Applied Mathematics
0,139
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 55-59
application/pdf
dc.source.none.fl_str_mv Scopus
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
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