6 citations · 25 across the 35 of their papers we have counts for
6 papers · 1 filter
Hyperbolic Functions of Bounded Variation and Riemann-Stieltjes Integral involving Strong Partitions of Hyperbolic Intervals
Gamaliel Yafte Tellez-Sanchez, Juan Bory-Reyes
In this paper, we define two types of partitions of an hyperbolic interval: weak and strong. Strong partitions enables us to define, in a natural way, a notion of hyperbolic valued…
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…
Some characterizations of slice regular Lipschitz type spaces
José Oscar González-Cervantes, Daniel González-Campos, Juan Bory-Reyes
We give some characterizations of Lipschitz type spaces of slice regular functions in the unit ball of the skew field of quaternions with prescribed modulus of continuity.
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…