Generalized Helmholtz equation
In this paper we introduce the generalized Helmholtz equation and present explicit solutions to this generalized Helmholtz equation, these solutions depend on three holomorphic functions. As an application we present explicit solutions to the Helmholtz equation. We note that these solutions are not...
| Main Authors: | , |
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| Format: | Article |
| Language: | Spanish |
| Published: |
Universidad Nacional de Trujillo
2019-07-01
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| Series: | Selecciones Matemáticas |
| Subjects: | |
| Online Access: | http://revistas.unitru.edu.pe/index.php/SSMM/article/view/2439 |
| _version_ | 1819261794272673792 |
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| author | Carlos C. Riveros Armando V. Corro |
| author_facet | Carlos C. Riveros Armando V. Corro |
| author_sort | Carlos C. Riveros |
| collection | DOAJ |
| description | In this paper we introduce the generalized Helmholtz equation and present explicit solutions to this generalized Helmholtz equation, these solutions depend on three holomorphic functions. As an application we present explicit solutions to the Helmholtz equation. We note that these solutions are not necessarily limited to certain domains of the complex plane C. |
| first_indexed | 2024-12-23T19:47:27Z |
| format | Article |
| id | doaj.art-82ae4e037c37417c8432812b7c23f818 |
| institution | Directory Open Access Journal |
| issn | 2411-1783 2411-1783 |
| language | Spanish |
| last_indexed | 2024-12-23T19:47:27Z |
| publishDate | 2019-07-01 |
| publisher | Universidad Nacional de Trujillo |
| record_format | Article |
| series | Selecciones Matemáticas |
| spelling | doaj.art-82ae4e037c37417c8432812b7c23f8182022-12-21T17:33:30ZspaUniversidad Nacional de TrujilloSelecciones Matemáticas2411-17832411-17832019-07-0161192510.17268/sel.mat.2019.01.03Generalized Helmholtz equationCarlos C. Riveros0Armando V. Corro1Departamento de Matemática, Universidade de Brasília, 70910-900, Brasília-DF, Brazil Instituto de Matemática e Estatística, Universidade Federal de Goias, 74001-970, Goiania-GO, BrazilIn this paper we introduce the generalized Helmholtz equation and present explicit solutions to this generalized Helmholtz equation, these solutions depend on three holomorphic functions. As an application we present explicit solutions to the Helmholtz equation. We note that these solutions are not necessarily limited to certain domains of the complex plane C.http://revistas.unitru.edu.pe/index.php/SSMM/article/view/2439Helmholtz equationholomorphic functions |
| spellingShingle | Carlos C. Riveros Armando V. Corro Generalized Helmholtz equation Selecciones Matemáticas Helmholtz equation holomorphic functions |
| title | Generalized Helmholtz equation |
| title_full | Generalized Helmholtz equation |
| title_fullStr | Generalized Helmholtz equation |
| title_full_unstemmed | Generalized Helmholtz equation |
| title_short | Generalized Helmholtz equation |
| title_sort | generalized helmholtz equation |
| topic | Helmholtz equation holomorphic functions |
| url | http://revistas.unitru.edu.pe/index.php/SSMM/article/view/2439 |
| work_keys_str_mv | AT carloscriveros generalizedhelmholtzequation AT armandovcorro generalizedhelmholtzequation |