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A Cauchy–Pompeiu Representation Formula Using Dirac Operator and its Applications in Some Piecewise Constant Structure Relations
OtherAbstract: In the present paper we use the piecewise constant structure relations of a Clifford algebra in ordePalabras claves:Autores:Antonio Di TeodoroFuentes:googleA Dirichlet problem for powers of the generalized Cauchy-Riemann operator
ArticleAbstract: Abstract: In this paper we solve a Dirichlet problem in ℝ<sup>3</sup> for the equation D<sup>n</sup>Palabras claves:Clifford-type algebras depending on parameters, Dirichlet problems in Clifford analysis, powers of the generalized Cauchy-Riemann operatorAutores:Antonio Di Teodoro, Antonio Nicola Di Teodoro, Carmen Judith Vanegas EspinozaFuentes:googlescopusSolución para ecuaciones elípticas de segundo orden no homogéneas en álgebras de tipo Clifford
OtherAbstract: En el presente trabajo, nosotros usamos álgebras de Clifford generalizadas llamadas álgebras de tipoPalabras claves:Autores:Antonio Di TeodoroFuentes:googleψ-weighted Cauchy-Riemann operators and some associated integral representation
ReviewAbstract: In the present work we introduce a weighted Cauchy-Riemann type operator in the complex plane, wherePalabras claves:Cauchy integral formula, Cauchy-Pompeiu integral formula, elliptic operator, Weighted Cauchy-Riemann operatorAutores:Antonio Di Teodoro, Antonio Nicola Di Teodoro, Carmen Judith Vanegas Espinoza, Eusebio Ariza GarcíaFuentes:googlescopusAbout the Dirichlet boundary value problem using Clifford Algebras
OtherAbstract: This paper reviews and summarizes the relevant literature on Dirichlet problems for monogenic functiPalabras claves:Autores:Antonio Di TeodoroFuentes:googleAn Integral Representation Formula for Multi Meta- φ -Monogenic Functions of Second Class
ArticleAbstract: Consider the following operator (Formula presented.)where φ<sup>(</sup><sup>j</sup><sup>)</sup> is aPalabras claves:Clifford algebras, Clifford-type algebras depending on parameters, Metamonogenic function, Monogenic function, Multi meta-φ-monogenic function, Multi-meta-monogenic functionAutores:Antonio Di Teodoro, Antonio Nicola Di Teodoro, Eusebio Ariza GarcíaFuentes:googlescopusEl Mínimo Común Múltiplo y su Relación con la Música como Estrategia Pedagógica para la Enseñanza de la Matemáticas
OtherAbstract: Este proyecto, desarrollado en el Colegio Integral El Ávila de Caracas, es una propuesta pedagógicaPalabras claves:Autores:Antonio Di TeodoroFuentes:googleGeneralized Cauchy-Riemann-type operators and some integral representation formulas
Conference ObjectAbstract: We introduce some generalized Cauchy-Riemann-type operators. For some of them we give integral reprePalabras claves:Boundary value problems, Cauchy-Riemann operators, Clifford algebras, Fundamental solutionsAutores:Antonio Di Teodoro, Antonio Nicola Di Teodoro, Bolívar Y., Carmen Judith Vanegas EspinozaFuentes:googlescopusGeneralized fractional Cauchy–Riemann operator associated with the fractional Cauchy–Riemann operator
OtherAbstract: In this paper, we present a characterization of all linear fractional order partial differential opePalabras claves:Autores:Antonio Di Teodoro, Diego Ochoa TocachiFuentes:googleFUNCIONES MONOGENICAS GENERALIZADAS QUE SATISFACEN ECUACIONES DIFERENCIALES CON LADOS DERECHOS ANTI-MONOGÉNICOS EN ALGEBRAS DE CLIFFORD DEPENDIENDO DE PAR AMETROS
OtherAbstract: The equation Du= F (x, u) in Clifford algebras depending on parameters is considered. A sufficient cPalabras claves:Autores:Antonio Di TeodoroFuentes:google