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Generalized 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:googlescopusWeighted spherical monogenics
OtherAbstract: It is well known in Clifford analysis that monogenic functions are solutions of the Dirac operator aPalabras claves:Autores:Benjamin De Zayas Nunez, Carmen Judith Vanegas EspinozaFuentes:scopusA mixed problem with a Dirichlet-Neumann boundary condition in the first quadrant for the Poisson equation
OtherAbstract: In this article the Dirichlet-Neumann mixed problem for the Poisson equation in the first quadrant iPalabras claves:Dirichlet-Neumann Mixed Problem, Harmonic Green Function, Laplace Equation, Parqueting-Reflection MethodAutores:Carlos Alberto Aray, Carmen Judith Vanegas EspinozaFuentes:scopusThe relation between weighted Dirac operators and a Maxwell-type system
OtherAbstract: The main objective of the present work is to find relationships between the solutions of weighted DiPalabras claves:complex quaternions, Helmholtz operator, Maxwell Equations, weighted Dirac operatorsAutores:Carmen Judith Vanegas Espinoza, Damian Cedeno López, Franklin Vargas JimenezFuentes:scopusFirst order differential operators associated to the space of meta-anti-analytic functions
OtherAbstract: A space of functions is associated with differential operator if the operator transforms the space iPalabras claves:Autores:Carmen Judith Vanegas Espinoza, David CarvajalFuentes:scopusFirst order differential operators associated to Δ = d i v (B ∇) operator in Clifford analysis
OtherAbstract: Let ℱ be a given differential operator acting with respect to spacelike variables, then a function sPalabras claves:Autores:Carmen Judith Vanegas Espinoza, Franklin Vargas JimenezFuentes:scopus