3 citations · 7 across the 16 of their papers we have counts for
18 papers
A note on the hypercomplex singular Cauchy-like integral in Douglis analysis
Isidro Paulino-Basurto, Jean Marie Vilaire, José Oscar González-Cervantes +1
Hypercomplex analysis extends classical complex analysis to Douglis algebras, replacing holomorphic functions with hyperanalytic functions, i.e., null solutions of the Douglis oper…
Mobius invariant weighted reduced quaternionic Qp-modules
Isidro Paulino-Basurto, José Oscar González-Cervantes, Juan Bory-Reyes +1
In this paper, we introduce some weighted reduced quaternionic modules induced by a reduced quaternionic Cauchy-Riemann operator associated to arbitrary orthogonal bases of R3. A w…
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…
On quaternionic analysis and a certain generalized fractal-fractional -Fueter operator
Juan Adrián Ramírez-Belman, José Oscar González-Cervantes, Juan Bory-Reyes
This paper introduces a fractal -Fueter operator in the quaternionic context inspired by the concepts of proportional derivative and Hausdorff derivative ({fractal derivative})…
A bicomplex proportional fractional weighted Cauchy-Riemann operator using Riemann-Liouville derivatives with respect to an hyperbolic-valued function
José Oscar González-Cervantes, Juan Adrián Ramírez-Belman, Juan Bory-Reyes
Based on the Riemann-Liouville derivatives with respect to functions taking values in the set of hyperbolic numbers, we consider a novel bicomplex proportional fractional $(\varthe…
The Borel-Pompieu formula involving proportional fractional -Cauchy-Riemann operators
José Oscar González-Cervantes, Isidro Paulino-Basurto, Juan Bory-Reyes
We prove an analog of the quaternionic Borel-Pompieu formula in the sense of proportional fractional -Cauchy-Riemann operators via Riemann-Liouville derivative with respect to a…
A quaternionic proportional fractional Fueter-type operator calculus
José Oscar González-Cervantes, Juan Bory-Reyes
The main goal of this paper is to construct a proportional analogues of the quaternionic fractional Fueter-type operator recently introduced in the literature. We start by establis…
A bicomplex weighted fractional Borel-Pompeiu type formula
José Oscar González-Cervantes, Juan Bory-Reyes
The purpose of this paper is to establish a Borel-Pompeiu type formula induced from a fractional bicomplex weighted Cauchy-Riemann operator, where the weights are t…
On fiber bundles and quaternionic slice regular functions
José Oscar González-Cervantes
The papers \cite{O1,O2} are the first works to apply the theory of fiber bundles in the study of the quaternionic slice regular functions. The main goal of the present work is to e…
On some quaternionic generalized slice regular functions
José Oscar González-Cervantes
The quaternionic valued functions of a quaternionic variable, often referred to as slice regular functions has been studied extensively due to the large number of generali\-zed res…
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…
A fractional Borel-Pompeiu type formula for holomorphic functions of two complex variables
José Oscar González-Cervantes, Juan Bory-Reyes
The present paper is a continuation of our work [11], where we introduced a fractional operator calculus related to a fractional Fueter operator in the one-dimensional Riemann-…
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…
A quaternionic fractional Borel-Pompeiu type formula
José Oscar González-Cervantes, Juan Bory-Reyes
Quaternionic analysis relies heavily on results on functions defined on domains in (or ) with values in . This theory is centered around the c…
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.…
An Approach with Toric Varieties for Singular Learning Machines
M. P. Castillo-Villalba, J. O. González-Cervantes
The Computational Algebraic Geometry applied in Algebraic Statistics; are beginning to exploring new branches and applications; in artificial intelligence and others areas. Current…