A note on the hypercomplex riemann-cauchy like relations for quaternions and laplace equations
| Autor(a) principal: | |
|---|---|
| Data de Publicação: | 2014 |
| Outros Autores: | |
| Tipo de documento: | Artigo |
| Idioma: | eng |
| Título da fonte: | Repositório Institucional da UNESP |
| Texto Completo: | http://www.ijpam.eu/contents/2014-90-4/2/ http://hdl.handle.net/11449/122813 |
Resumo: | In this Note it is worked out a new set of Laplace-Like equations for quaternions through Riemann-Cauchy hypercomplex relations otained earlier [1]. As in the theory of functions of a complex variable, it is expected that this new set of Laplace-Like equations might be applied to a large number of Physical problems, providing new insights in the Classical Fields Theory. |
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A note on the hypercomplex riemann-cauchy like relations for quaternions and laplace equationsquaternions, Laplace's equations, Riemann-Cauchy relationsIn this Note it is worked out a new set of Laplace-Like equations for quaternions through Riemann-Cauchy hypercomplex relations otained earlier [1]. As in the theory of functions of a complex variable, it is expected that this new set of Laplace-Like equations might be applied to a large number of Physical problems, providing new insights in the Classical Fields Theory.Universidade Estadual Paulista Júlio de Mesquita Filho, Departamento de Ciência da Computação e Estatística, Instituto de Biociências Letras e Ciências Exatas de São José do Rio Preto, São José do Rio Preto, Rua Cristovão Colombo 2265, Jardim Nazaré, CEP 15054000, SP, BrasilUniversidade Estadual Paulista Júlio de Mesquita Filho, Departamento de Ciência da Computação e Estatística, Instituto de Biociências Letras e Ciências Exatas de São José do Rio Preto, São José do Rio Preto, Rua Cristovão Colombo 2265, Jardim Nazaré, CEP 15054000, SP, BrasilDepartment of Mathematics Federal University of Maranhão - São Luís-MA 65085-580, Maranhão, BRAZILUniversidade Estadual Paulista (Unesp)Marão, José Antonio PiresBorges Neto, Manoel Ferreira [UNESP]2015-04-27T11:56:03Z2015-04-27T11:56:03Z2014info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article407-411http://www.ijpam.eu/contents/2014-90-4/2/International Journal of Pure and Applied Mathematics, v. 90, n. 4, p. 407-411, 2014.1311-8080http://hdl.handle.net/11449/12281310.12732/ijpam.v90i4.27955413331293674Currículo Lattesreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengInternational Journal of Pure and Applied Mathematics0,139info:eu-repo/semantics/openAccess2021-10-23T22:04:27Zoai:repositorio.unesp.br:11449/122813Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462021-10-23T22:04:27Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
| dc.title.none.fl_str_mv |
A note on the hypercomplex riemann-cauchy like relations for quaternions and laplace equations |
| title |
A note on the hypercomplex riemann-cauchy like relations for quaternions and laplace equations |
| spellingShingle |
A note on the hypercomplex riemann-cauchy like relations for quaternions and laplace equations Marão, José Antonio Pires quaternions, Laplace's equations, Riemann-Cauchy relations |
| title_short |
A note on the hypercomplex riemann-cauchy like relations for quaternions and laplace equations |
| title_full |
A note on the hypercomplex riemann-cauchy like relations for quaternions and laplace equations |
| title_fullStr |
A note on the hypercomplex riemann-cauchy like relations for quaternions and laplace equations |
| title_full_unstemmed |
A note on the hypercomplex riemann-cauchy like relations for quaternions and laplace equations |
| title_sort |
A note on the hypercomplex riemann-cauchy like relations for quaternions and laplace equations |
| author |
Marão, José Antonio Pires |
| author_facet |
Marão, José Antonio Pires Borges Neto, Manoel Ferreira [UNESP] |
| author_role |
author |
| author2 |
Borges Neto, Manoel Ferreira [UNESP] |
| author2_role |
author |
| dc.contributor.none.fl_str_mv |
Universidade Estadual Paulista (Unesp) |
| dc.contributor.author.fl_str_mv |
Marão, José Antonio Pires Borges Neto, Manoel Ferreira [UNESP] |
| dc.subject.por.fl_str_mv |
quaternions, Laplace's equations, Riemann-Cauchy relations |
| topic |
quaternions, Laplace's equations, Riemann-Cauchy relations |
| description |
In this Note it is worked out a new set of Laplace-Like equations for quaternions through Riemann-Cauchy hypercomplex relations otained earlier [1]. As in the theory of functions of a complex variable, it is expected that this new set of Laplace-Like equations might be applied to a large number of Physical problems, providing new insights in the Classical Fields Theory. |
| publishDate |
2014 |
| dc.date.none.fl_str_mv |
2014 2015-04-27T11:56:03Z 2015-04-27T11:56:03Z |
| 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/2014-90-4/2/ International Journal of Pure and Applied Mathematics, v. 90, n. 4, p. 407-411, 2014. 1311-8080 http://hdl.handle.net/11449/122813 10.12732/ijpam.v90i4.2 7955413331293674 |
| url |
http://www.ijpam.eu/contents/2014-90-4/2/ http://hdl.handle.net/11449/122813 |
| identifier_str_mv |
International Journal of Pure and Applied Mathematics, v. 90, n. 4, p. 407-411, 2014. 1311-8080 10.12732/ijpam.v90i4.2 7955413331293674 |
| 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 |
407-411 |
| dc.source.none.fl_str_mv |
Currículo Lattes 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) |
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|
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1803046706329157632 |