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Combined boundary value problems for the nonhomogeneous tri-analytic equation
OtherAbstract: In the present article we present a particular combination of boundary problems for the inhomogeneouPalabras claves:Autores:Antonio Di TeodoroFuentes:googleA 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 Boundary Value Problem for Fractional Monogenic Functions in the Riemann–Liouville Sense
ArticleAbstract: This paper solves the Dirichlet boundary value problem of distinguishing domains for Clifford fractiPalabras claves:Dirichlet boundary value problem, Fractional Cauchy–Riemann operator, Fractional monogenic functions, Matrix representation of Clifford algebrasAutores:Antonio Di Teodoro, Antonio Nicola Di Teodoro, David Armendáriz, Johan CeballosFuentes:googlescopusA Dirichlet Problem for the First Order Inhomogeneous Meta-Monogenic Equation in Parameter Depending Clifford Algebras
ArticleAbstract: Using Clifford-type algebras depending on parameters we solve a Dirichlet problem for the first ordePalabras claves:Clifford-type algebras depending on parameters, Dirichlet problem, Meta-monogenic functionsAutores:Antonio Di Teodoro, Antonio Nicola Di Teodoro, Carmen Judith Vanegas EspinozaFuentes:googlescopusA Dirichlet problem for powers of the generalized Cauchy-Riemann operator
ArticleAbstract: Abstract: In this paper we solve a Dirichlet problem in ℝ3 for the equation Dnu = 0, where Dn is thePalabras 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:googlescopusA Modified Dirac Operator in Parameter–Dependent Clifford Algebra: A Physical Realization
ArticleAbstract: In the present paper we introduce a modified Dirac operator and solve the associated Dirichlet boundPalabras claves:Clifford–type algebras, Depending on parametersalgebras, Dirac operator, Dirichlet problem, Monogenic functionsAutores:Alexander Lopez, Antonio Di Teodoro, Antonio Nicola Di Teodoro, Franquiz R.Fuentes:googlescopusCauchy–Pompeiu Formula for Multi-meta-weighted-monogenic Functions of first class
OtherAbstract: In this paper we give a Cauchy–Pompeiu type integral formula for a class of functions called multi-mPalabras claves:Autores:Antonio Di TeodoroFuentes:googleAbout 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--Monogenic Functions of Second Class
OtherAbstract: Consider the following operator $$\begin{aligned} \displaystyle \mathcal {D}_{\varphi ^{(j)},\lambdaPalabras claves:Autores:Antonio Di TeodoroFuentes:googleFractional elementary bicomplex functions in the Riemann–Liouville sense
OtherAbstract: In this paper, we present the development of fractional bicomplex calculus in the Riemann–LiouvillePalabras claves:Autores:Antonio Di Teodoro, Diego Ochoa TocachiFuentes:google