Liouville's theorem and power series for quaternionic functions
Autor(a) principal: | |
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Data de Publicação: | 2011 |
Outros Autores: | |
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. |
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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:29462024-08-05T15:38:26.811795Repositório 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_ |
1808128543039684608 |