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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:scopusCorrection to: Poincaré–Bertrand and Hilbert formulas for the Cauchy–Cimmino Singular Integrals (Advances in Applied Clifford Algebras, (2017), 27, 4, (2933-2960), 10.1007/s00006-017-0809-8)
OtherAbstract: Unfortunately, the name of the communicating editor has been published incorrectly. The correct namePalabras claves:Autores:Pérez-de la Rosa M.A., Reyes J.B., Ricardo Abreu Blaya, Schneider B.Fuentes:scopusElectromagnetic Riemann–Hilbert Boundary Value Problem in Fractal Domains of R<sup>2</sup>
ArticleAbstract: In this paper we present a hyperholomorphic (associated to the Helmholtz equation) approach to the RPalabras claves:Fractal curves, Maxwell system, Riemann–Hilbert boundary value problemAutores:Pérez Y.P., 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:scopusHilbert and Poincaré-Bertrand Formulas in Polyanalytic Function Theory Involving Higher Order Lipschitz Classes
ArticleAbstract: In the present work we obtain some analogues of the Hilbert formulas on the unit circle for iteratedPalabras claves:higher order Lipschitz classes, Hilbert formulas, Iterated Cauchy-Riemann operator, Poincaré-Bertrand formulaAutores:Pérez-de la Rosa M.A., 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:scopusOn the Hilbert formulas and of change of integration order for some singular integrals in the unit circle
ArticleAbstract: We obtain some analogues of the Hilbert formulas on the unit circle for α-hyperholomorphic functionPalabras claves:Hilbert formulas, Poincaré-Bertrand formulasAutores:Pérez-de la Rosa M.A., Reyes J.B., Ricardo Abreu Blaya, Schneider B.Fuentes:scopusOn the Hilbert formulas on the unit circle for α-hyperholomorphic function theory
ArticleAbstract: We obtain some analogues of the Hilbert formulas on the unit circle for α-hyperholomorphic functionPalabras claves:30G35, 42B20, 44A15, Hilbert operator, hyperholomorphic functions, singular integralsAutores:Pérez-de la Rosa M.A., Reyes J.B., Ricardo Abreu Blaya, Schneider B.Fuentes:scopus