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Advances in Applied Clifford Algebras(2)
Complex Analysis and Operator Theory(2)
Complex Variables and Elliptic Equations(1)
Journal of Mathematical Analysis and Applications(1)
Mediterranean Journal of Mathematics(1)
Origen
scopus(8)
A 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: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 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:scopusIntegral formulas of the Hilbert, Poincaré-Bertrand, Schwarz and Poisson type for the β–analytic function theory
ArticleAbstract: In the present work we obtain some analogues of the Hilbert formulas on the unit circle and on the uPalabras claves:Hilbert formulas, Poincaré–Bertrand formulas, Poisson formulas, Schwarz formulas, β–analytic functionsAutores: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