3 citations · 4 across the 4 of their papers we have counts for
7 papers
A quaternionic perturbed fractional Fueter operator calculus
José Oscar González-Cervantes, Juan Bory-Reyes
Quaternionic analysis offers a function theory focused on the concept of hyperholomorphic functions defined as null solutions of the Fueter operator, where is an arbitr…
On hyperholomorphic Bergman type spaces in domains of
José Oscar González-Cervantes, Juan Bory-Reyes
Quaternionic analysis is regarded as a broadly accepted branch of classical analysis referring to many different types of extensions of the Cauchy-Riemann equations to the quaterni…
Local fractional Moisil-Teodorescu operator in quaternionic setting involving Cantor-type coordinate systems
Juan Bory-Reyes, Marco Antonio Pérez-de la Rosa
In this paper, general quaternionic structure are developed for the local fractional Moisil-Teodorescu operator in Cantor-type cylindrical and spherical coordinate systems. Two exa…
Generalized Laplacian decomposition of vector fields on fractal surfaces
Daniel González Campos, Marco Antonio Pérez de la Rosa, Juan Bory Reyes
We consider the behavior of generalized Laplacian vector fields on a Jordan domain of with fractal boundary. Our approach is based on properties of the Teodorescu…
Solutions of inhomogeneous perturbed generalized Moisil-Teodorescu system and Maxwell's equations in Euclidean Space
Juan Bory-Reyes, Marco Antonio Pérez-de la Rosa
In this paper, based on a proposed notion of generalized conjugate harmonic pairs in the framework of complex Clifford analysis, necessary and sufficient conditions for the solvabi…
Reconstruction of solutions to a generalized Moisil-Teodorescu system in Jordan domains with rectfiable boundary
Daniel González-Campos, Marco Antonio Pérez-de la Rosa, Juan Bory-Reyes
In this paper we consider the problem of reconstructing solutions to a generalized Moisil-Teodorescu system in Jordan domains of with rectifiable boundary. In orde…