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Advances in Applied Clifford Algebras(5)
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Fractional 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:scopusFundamental Solutions for Second Order Elliptic Operators in Clifford-Type Algebras
ArticleAbstract: We show fundamental solutions for some second order elliptic operators in the framework of parameterPalabras claves:Clifford-type algebras, elliptic operators, Fundamental solutions, integral representations formulaeAutores:Antonio Nicola Di Teodoro, Carmen Judith Vanegas Espinoza, Eusebio Ariza García, Infante A.Fuentes:scopusFundamental Solutions for the First Order Meta-Monogenic Operator
ArticleAbstract: Using Clifford-type algebras depending on parameters we give explicit representations for fundamentaPalabras claves:Cauchy-Pompeiu Formula, Clifford-type algebras depending on parameters, Fundamental solutions, metamonogenic functionsAutores:Antonio Nicola Di Teodoro, Carmen Judith Vanegas EspinozaFuentes:scopusGeneralized 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: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:googlescopusMulti Mq-monogenic function in different dimension
Conference ObjectAbstract: A metamonogenic of first-order function or simply metamonogenic function is a function that satisfiePalabras claves:Clifford algebras, Clifford type depending on parameters, Metamonogenic function, Monogenic function, Multi Mq-monogenic functions, Multi-metamonogenic functionAutores:Antonio Nicola Di Teodoro, Eusebio Ariza GarcíaFuentes:scopusSolution of the Initial Value Problem for a Linear Evolution Equation in a Clifford Type Algebra
ArticleAbstract: Initial value problems of type$$\partial_t{u} = L(t, x, u, \partial_{{x}_i}u), $$∂tu=L(t,x,u,∂xiu),$Palabras claves:Associated space, Initial value problem, Interior estimate, metamonogenic operatorAutores:Antonio Di Teodoro, Antonio Nicola Di Teodoro, Sapian M.Fuentes:googlescopusSome Integral Representation for Meta-Monogenic Function in Clifford Algebras Depending on Parameters
ArticleAbstract: In recent years, the integral representation problems have been studied in many context and generaliPalabras claves:Clifford type algebras, Fundamental solutions, high order Cauchy-Pompeiu integral formula, Meta-monogenic functionAutores:Antonio Nicola Di Teodoro, Balderrama C., Infante A.Fuentes:scopusSufficient Conditions for First-Order Differential Operators to be Associated with a q-Metamonogenic Operator in a Clifford Type Algebra
ArticleAbstract: Consider the initial value problem (Formula presented.), where t is the time, L is a linear first-orPalabras claves:associated operators, Associated spaces, Initial value problem, Interior estimatesAutores:Antonio Nicola Di Teodoro, Eusebio Ariza García, Franklin A. Vargas, Sapiain M.Fuentes:scopus