Generalized Helmholtz equation

• C. Riveros, Carlos M. ^[1] ; V. Corro, Armando M. ^[2]
  1. [1] Universidade de Brasília

     Universidade de Brasília

     Brasil

     
  2. [2] Universidade Federal de Goiás

     Universidade Federal de Goiás

     Brasil

     
• Localización: Selecciones Matemáticas, ISSN-e 2411-1783, Vol. 6, Nº. 1 (Enero-Julio), 2019, págs. 19-25
• Idioma: inglés
• DOI: 10.17268/sel.mat.2019.01.03
• Títulos paralelos:
  • Ecuación de Helmholtz generalizada
• Enlaces
  • Texto completo (pdf)
• Resumen
  • español

    En este artículo introducimos la ecuación de Helmholtz generalizada y presentamos soluciones explícitas para esta ecuación de Helmholtz generalizada, estas soluciones dependen de tres funciones holomorfas. Como aplicación presentamos soluciones explícitas para la ecuación de Helmholtz. Observamos que estas soluciones nonecesariamente estan limitadas a ciertos dominios del plano complejo C.

  • English

    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.

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