Browsing by Author "Perez-de la Rosa, M. A."

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Citation - Scopus: 2
On the Hilbert Formulas on the Unit Circle for Alpha-Hyperholomorphic Function Theory
(Taylor & Francis Ltd, 2018) Bory Reyes, J.; Abreu Blaya, R.; Perez-de la Rosa, M. A.; Schneider, B.
We obtain some analogues of the Hilbert formulas on the unit circle for alpha-hyperholomorphic function theory in R-2 for a being a complex quaternionic number. The obtained formulas relate a pair of components of the boundary value of an alpha-hyperholomorphic function in the unit discwith the other pair of components and, hence, being analogous to the case of the theory of functions of one complex variable.
Citation - WoS: 10
Citation - Scopus: 10
A Quaternionic Treatment of Inhomogeneous Cauchy-Riemann Type Systems in Some Traditional Theories
(Springer Basel Ag, 2017) Bory Reyes, J.; Abreu Blaya, R.; Perez-de la Rosa, M. A.; Schneider, B.
In this paper we provide a necessary and sufficient condition for the solvability of inhomogeneous Cauchy-Riemann type systems where the datum consists of continuous C-valued functions and we describe its general solution by embedding the system in an appropriate quaternionic setting.