1 citations · 1 across the 7 of their papers we have counts for
7 papers
A Borel-Pompeiu formula in a -model of quaternionic analysis
José Oscar González-Cervantes, Juan Bory-Reyes, Irene Sabadini
The study of hyperholomorphic functions defined on domains in with values in , namely null-solutions of the Fueter operator, is a topic which captu…
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…
A higher Dimensional Marcinkiewicz Exponent and the Riemann Boundary Value Problems for Polymonogenic Functions on Fractals Domains
Carlos Daniel Tamayo Castro, Juan Bory Reyes
We use a high-dimensional version of the Marcinkiewicz exponent, a metric characteristic for non-rectifiable plane curves, to present a direct application to the solution of some k…