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Advances in Applied Clifford Algebras(10)
Complex Analysis and Operator Theory(3)
2022 IEEE International Conference on Automation/25th Congress of the Chilean Association of Automatic Control: For the Development of Sustainable Agricultural Systems, ICA-ACCA 2022(1)
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Bulletin of Computational Applied Mathematics(1)
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A Cauchy-Pompeiu Representation Formula Using Dirac Operator and its Applications in Some Piecewise Constant Structure Relations
ArticleAbstract: In the present paper we use the piecewise constant structure relations of a Clifford algebra in ordePalabras claves:Cauchy-Pompeiu Formula, Clifford analysis, fundamental solution, Integral representation, Structure relations of Clifford algebraAutores:Antonio Nicola Di Teodoro, Infante A.Fuentes:scopusA 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 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:googlescopusA method to determine the variation of irradiance in bilirubin lamps as function of the time of use
Conference ObjectAbstract: Hyperbilirubinemia Hyperbilirubinemia is a pathologic process consisting of the abnormal increase ofPalabras claves:Bilirun, Irradiance, LAMP, methodAutores:Antonio Nicola Di Teodoro, Graciela M. Salum, Marino E., Piacentini R.D., Salerno J.Fuentes:scopusAn 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 Elementary Bicomplex Functions in the Riemann–Liouville Sense
ArticleAbstract: In this paper, we present the development of fractional bicomplex calculus in the Riemann–LiouvillePalabras claves:Bicomplex functions, Bicomplex numbers, Fractional analytic functions, Fractional bicomplex functions, Fractional Cauchy–Riemann operatorAutores:Antonio Nicola Di Teodoro, Diego Ochoa–Tocachi, Francisco Ponce, Nicolás ColomaFuentes:scopusFractional 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 Solution for Natural Powers of the Fractional Laplace and Dirac Operators in the Riemann–Liouville Sense
ArticleAbstract: In this paper, we study the fundamental solution of natural powers of the n-parameter fractional LapPalabras claves:Fractional Clifford analysis, fractional derivatives, fundamental solution, Laplace transform, Poisson’s equationAutores:Antonio Nicola Di Teodoro, Ferreira M., Vieira N.Fuentes: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:scopus