1 citations · 2 across the 7 of their papers we have counts for
7 papers
A connection between quaternionic slice regular and Fueter hyperholormorphic functions
José Oscar González-Cervantes, Daniel González-Campos, Juan Bory-Reyes +1
This paper presents some results for the slice regular functions and hyperholomorphic functions theories, as consequences of new relationships between the global operator , Fuet…
A Non-integer Dimensional Space Approach to the Moisil-Teodorescu Operator
Juan Bory-Reyes, Marco Antonio Pérez-de la Rosa, José Oscar González-Cervantes +1
The vector calculus in non-integer dimensional space (NIDS), including the NIDS version of the standard vector differential operators (gradient, divergence, and curl) is well-known…
On slice regular fractal-fractional Dirichlet type spaces
José Oscar González-Cervantes, Carlos Alejandro Moreno-Muñoz, Juan Bory-Reyes
In this paper, we study some families of right modules of quaternionic slice regular functions induced by a generalized fractal-fractional derivative with respect to a truncated qu…
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…
On the Gauss-Lucas theorem in the quaternionic setting
Sorin G. Gal, J. Oscar González-Cervantes, Irene Sabadini
In theory of one complex variable, Gauss-Lucas Theorem states that the critical points of a non constant polynomial belong to the convex hull of the set of zeros of the polynomial.…