arXiv subjects

Juan Adrián Ramírez-Belman

Publications and source records attributed to Juan Adrián Ramírez-Belman.

2 recordsLinked to original sources

arXiv2026

On quaternionic analysis and a certain generalized fractal-fractional $ψ$-Fueter operator

This paper introduce a fractal ψ-Fueter operator in the quaternionic context inspired in the concepts of proportional derivative and Hausdorff derivative (fractal derivative) of a function with respect to a fractal measure. Moreover, we establish the corresponding Stokes and Borel- Pompeiu formulas associated to this generalized fractal ψ-Fueter operator with respect to a vector valued function induced by truncated exponential functions.

math.CV↗

arXiv2023

A bicomplex proportional fractional $(\vartheta,φ)-$weighted Cauchy-Riemann operator using Riemann-Liouville derivatives with respect to an hyperbolic-valued function

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 $(\vartheta,φ)-$weighted Cauchy-Riemann operator, involving weights hyperbolic orthogonal bicomplex functions. This operator is defined for the first time here, and its associated fractional Borel-Pompeiu formula is proved as the main result.

math.CV↗