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A 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
ArticleAbstract: In this paper we give a Cauchy–Pompeiu type integral formula for a class of functions called multi-mPalabras claves:Clifford type algebras, Meta-monogenic functions, Meta-n-weighted-monogenic functions, Monogenic functions, Multi-meta-weighted- monogenic functionsAutores:Antonio Nicola Di Teodoro, Eusebio Ariza GarcíaFuentes:googlescopusAn Integral Representation Formula for Multi Meta- φ -Monogenic Functions of Second Class
ArticleAbstract: Consider the following operator (Formula presented.)where φ(j) is a Clifford-valued function and λ(jPalabras claves:Clifford algebras, Clifford type algebras depending on parameters, Metamonogenic function, Monogenic function, Multi meta-φ-monogenic function, Multi-meta-monogenic functionAutores:Antonio Nicola Di Teodoro, Eusebio Ariza GarcíaFuentes:googlescopusGeneralized 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 monogenic functions satisfying differential equations with anti-monogenic right-hand sides on Clifford algebras depending on parameters
ArticleAbstract: The equation Du = F(x, u) in Clifford algebras depending on parameters is considered, where D is thePalabras claves:anti-monogenic functions, Clifford algebras depending on parameters, generalized monogenic functions, interior L estimates p, Transition matrixAutores:Antonio Di Teodoro, Antonio Nicola Di TeodoroFuentes:googlescopusFirst Order Differential Operators Associated to the Space of q-Monogenic Functions
ArticleAbstract: In this paper we characterize all the first order differential operators, with paravector coefficienPalabras claves:Associated spaces, Clifford-type algebras, Initial value problems, q-monogenic functionsAutores:Antonio Di Teodoro, Antonio Nicola Di Teodoro, Carmen Judith Vanegas Espinoza, Eusebio Ariza GarcíaFuentes:googlescopusHartog's Type Extension Theorem in Some Piecewise Constant Structure Relations For Metamonogenic Functions of First Order
ArticleAbstract: The main purpose of this paper is to study a Hartog's type extension theorem for a more general clasPalabras claves:Clifford type algebras, Hartog's type extension theorem, metamonogenic functions, multimetamonogenic functions, piecewise constant structure relationsAutores:Antonio Nicola Di Teodoro, Eusebio Ariza GarcíaFuentes:googlescopus