Liouville's theorem and power series for quaternionic functions

Detalhes bibliográficos
Autor(a) principal: Marão, José Antônio Pires Ferreira
Data de Publicação: 2011
Outros Autores: Borges Neto, Manoel Ferreira [UNESP]
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://www.ijpam.eu/contents/2011-71-3/7/7.pdf
http://hdl.handle.net/11449/72659
Resumo: In recent years quaternionic functions have been an intense and prosperous object of research, and important results were determined [1]-[6]. Some of these results are similar to well known cases in one complex variable, op. cit. [5], [6]. In this paper the hypercomplex expansion of a function in a power series as well as determination of a Liouville's type theorem have been investigated to the quaternionic functions. In this case, it is observed that the Liouville's type theorem is true for second order derivatives, which differs from its classical version. © 2011 Academic Publications, Ltd.
id UNSP_f23a859498160e84f2b75f2b19f4b8f9
oai_identifier_str oai:repositorio.unesp.br:11449/72659
network_acronym_str UNSP
network_name_str Repositório Institucional da UNESP
repository_id_str 2946
spelling Liouville's theorem and power series for quaternionic functionsHypercomplexQuaternionsQuaternions seriesIn recent years quaternionic functions have been an intense and prosperous object of research, and important results were determined [1]-[6]. Some of these results are similar to well known cases in one complex variable, op. cit. [5], [6]. In this paper the hypercomplex expansion of a function in a power series as well as determination of a Liouville's type theorem have been investigated to the quaternionic functions. In this case, it is observed that the Liouville's type theorem is true for second order derivatives, which differs from its classical version. © 2011 Academic Publications, Ltd.Department of Mathematics UFMA - Federal University of Maranhão, 65085-580, MaranhãoUNESP - São Paulo State University S.J. Rio Preto Campus, 15054-000, São José do Rio PretoUNESP - São Paulo State University S.J. Rio Preto Campus, 15054-000, São José do Rio PretoUniversidade Federal do Maranhão (UFMA)Universidade Estadual Paulista (Unesp)Marão, José Antônio Pires FerreiraBorges Neto, Manoel Ferreira [UNESP]2014-05-27T11:25:59Z2014-05-27T11:25:59Z2011-09-05info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article383-389application/pdfhttp://www.ijpam.eu/contents/2011-71-3/7/7.pdfInternational Journal of Pure and Applied Mathematics, v. 71, n. 3, p. 383-389, 2011.1311-8080http://hdl.handle.net/11449/726592-s2.0-800522241282-s2.0-80052224128.pdfScopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengInternational Journal of Pure and Applied Mathematics0,139info:eu-repo/semantics/openAccess2023-10-22T06:09:36Zoai:repositorio.unesp.br:11449/72659Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462023-10-22T06:09:36Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Liouville's theorem and power series for quaternionic functions
title Liouville's theorem and power series for quaternionic functions
spellingShingle Liouville's theorem and power series for quaternionic functions
Marão, José Antônio Pires Ferreira
Hypercomplex
Quaternions
Quaternions series
title_short Liouville's theorem and power series for quaternionic functions
title_full Liouville's theorem and power series for quaternionic functions
title_fullStr Liouville's theorem and power series for quaternionic functions
title_full_unstemmed Liouville's theorem and power series for quaternionic functions
title_sort Liouville's theorem and power series for quaternionic functions
author Marão, José Antônio Pires Ferreira
author_facet Marão, José Antônio Pires Ferreira
Borges Neto, Manoel Ferreira [UNESP]
author_role author
author2 Borges Neto, Manoel Ferreira [UNESP]
author2_role author
dc.contributor.none.fl_str_mv Universidade Federal do Maranhão (UFMA)
Universidade Estadual Paulista (Unesp)
dc.contributor.author.fl_str_mv Marão, José Antônio Pires Ferreira
Borges Neto, Manoel Ferreira [UNESP]
dc.subject.por.fl_str_mv Hypercomplex
Quaternions
Quaternions series
topic Hypercomplex
Quaternions
Quaternions series
description In recent years quaternionic functions have been an intense and prosperous object of research, and important results were determined [1]-[6]. Some of these results are similar to well known cases in one complex variable, op. cit. [5], [6]. In this paper the hypercomplex expansion of a function in a power series as well as determination of a Liouville's type theorem have been investigated to the quaternionic functions. In this case, it is observed that the Liouville's type theorem is true for second order derivatives, which differs from its classical version. © 2011 Academic Publications, Ltd.
publishDate 2011
dc.date.none.fl_str_mv 2011-09-05
2014-05-27T11:25:59Z
2014-05-27T11:25:59Z
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/2011-71-3/7/7.pdf
International Journal of Pure and Applied Mathematics, v. 71, n. 3, p. 383-389, 2011.
1311-8080
http://hdl.handle.net/11449/72659
2-s2.0-80052224128
2-s2.0-80052224128.pdf
url http://www.ijpam.eu/contents/2011-71-3/7/7.pdf
http://hdl.handle.net/11449/72659
identifier_str_mv International Journal of Pure and Applied Mathematics, v. 71, n. 3, p. 383-389, 2011.
1311-8080
2-s2.0-80052224128
2-s2.0-80052224128.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 383-389
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
_version_ 1803046105991086080

Registros relacionados