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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: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:googlescopusFractional Multicomplex Polynomials
ArticleAbstract: In this paper we will investigate fractional analytic properties of multi-complex valued polynomialsPalabras claves:Fractional analytic functions, Fractional bicomplex functions, Fractional Cauchy–Riemann operator, Multicomplex numbers, Multicomplex valued polynomialsAutores:Antonio Nicola Di Teodoro, Diego Ochoa–Tocachi, Francisco Ponce, Johan Ceballos, Nicolás ColomaFuentes:scopus