6 citations · 25 across the 35 of their papers we have counts for
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A d-summable approach to Deng information dimension of complex networks
Aldo Ramirez-Arellano, Juan Bory--Reyes
Several new network information dimension definitions have been proposed in recent decades, expanding the scope of applicability of this seminal tool. This paper proposes a new def…
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…
Magnetic Schrödinger operator with the potential supported in a curved two-dimensional strip
Juan Bory Reyes, Baruch Schneider, Diana Schneiderova
We consider the magnetic Schrödinger operator with a non-negative potential supported over a strip which is a local deformation of a straight one, and th…
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…
Fractional slice regular functions of a quaternionic variable
José Oscar González-Cervantes, Juan Bory-Reyes, Irene Sabadini
The theory of slice regular functions of a quaternionic variable on the unit ball of the quaternions was introduced by Gentili and Struppa in 2006 and nowadays it is a well establi…
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…