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Mediterranean Journal of Mathematics(2)
Advances in Applied Clifford Algebras(1)
Applied Mathematics and Computation(1)
Complex Analysis and Operator Theory(1)
Operator Theory: Advances and Applications(1)
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Optimización matemática(5)
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scopus(6)
Boundary value problems for the Cimmino system via quaternionic analysis
ArticleAbstract: In this paper, we study a class of boundary value problems for a first order linear partial differenPalabras claves:Boundary value problems, Cimmino system, Quaternionic analysisAutores:Guzmán Adán A., Reyes J.B., Ricardo Abreu Blaya, Schneider B.Fuentes:scopusA Quaternionic Treatment of Inhomogeneous Cauchy–Riemann Type Systems in Some Traditional Theories
ArticleAbstract: In this paper we provide a necessary and sufficient condition for the solvability of inhomogeneous CPalabras claves:Cauchy–Riemann systems, Function theories for the Laplace operator, Quaternionic analysisAutores:Pérez-de la Rosa M.A., Reyes J.B., Ricardo Abreu Blaya, Schneider B.Fuentes:scopusDirichlet-Type Problems for the Two-Dimensional Helmholtz Operator in Complex Quaternionic Analysis
ArticleAbstract: This study aims to study a class of Dirichlet-type problems associated with the two-dimensional HelmPalabras claves:Dirichlet-type problems, Helmholtz operator, Quaternionic analysisAutores:Hernández-Simon L.M., Reyes J.B., Ricardo Abreu Blaya, Schneider B.Fuentes:scopusOn cauchy type integrals related to the Cimmino system of partial differential equations
Book PartAbstract: In this paper, we established a one-to-one correspondence between quaternionic hyperholomorphic funcPalabras claves:Cimmino system, hyperholomorphic functions, Quaternionic analysisAutores:Reyes J.B., Ricardo Abreu Blaya, Schneider B.Fuentes:scopusOn the 2D quaternionic metaharmonic layer potentials
ArticleAbstract: This paper aims to study several boundary value properties, to derive a Poincaré-Bertrand formula anPalabras claves:Dirichlet-type problems, Helmholtz operator, Quaternionic analysisAutores:Pérez-de la Rosa M.A., Reyes J.B., Ricardo Abreu Blaya, Schneider B.Fuentes:scopusPoincaré–Bertrand and Hilbert formulas for the Cauchy–Cimmino singular integrals
ArticleAbstract: The Cimmino system offers a natural and elegant generalization to four-dimensional case of the CauchPalabras claves:Cimmino system, Hilbert formulas, Poincaré–Bertrand formula, Quaternionic analysisAutores:Pérez-de la Rosa M.A., Reyes J.B., Ricardo Abreu Blaya, Schneider B.Fuentes:scopus