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Boundary value problems for hyperholomorphic solutions of two dimensional Helmholtz equation in a fractal domain
ArticleAbstract: A theory of quaternion-valued functions, called hyperholomorphic, of two real variables has long beePalabras claves:Boundary value problems, fractal geometry, Helmholtz equations, Quaternionic analysisAutores:Reyes J.B., Ricardo Abreu Blaya, Rodríguez–Dagnino R.M.Fuentes:scopus2D Quaternionic Time-Harmonic Maxwell System in Elliptic Coordinates
ArticleAbstract: In this paper we consider the 2D time–harmonic Maxwell equations in elliptic coordinates through cerPalabras claves:elliptic coordinates, Maxwell Equations, Quaternionic analysisAutores:Ávila–Ávila R., Reyes J.B., Ricardo Abreu Blaya, Rodríguez–Dagnino R.M.Fuentes:scopusCauchy representation formulas for Maxwell equations in 3-dimensional domains with fractal boundaries
ArticleAbstract: The aim of this paper is to offer a new definition of Cauchy integral associated with Maxwell equatiPalabras claves:Cauchy representation formulas, fractal boundaries, Maxwell EquationsAutores:Ávila-Ávila R., Reyes J.B., Ricardo Abreu Blaya, Rodríguez–Dagnino R.M.Fuentes:scopusOn Riemann boundary value problems for null solutions of the two dimensional Helmholtz equation
ArticleAbstract: The Riemann boundary value problem (RBVP to shorten notation) in the complex plane, for different clPalabras claves:Boundary value problems, Helmholtz equations, Quaternionic analysisAutores:Kats B.A., Reyes J.B., Ricardo Abreu Blaya, Rodríguez–Dagnino R.M.Fuentes:scopus