English

A bicomplex $(\vartheta,\varphi)-$weighted fractional Borel-Pompeiu type formula

Complex Variables 2022-06-07 v1

Abstract

The purpose of this paper is to establish a Borel-Pompeiu type formula induced from a fractional bicomplex (ϑ,φ)(\vartheta,\varphi)-weighted Cauchy-Riemann operator, where the weights are two hyperbolic orthogonal bicomplex functions and the fractionality is understand in the Riemann-Liouville sense.

Keywords

Cite

@article{arxiv.2206.02269,
  title  = {A bicomplex $(\vartheta,\varphi)-$weighted fractional Borel-Pompeiu type formula},
  author = {José Oscar González-Cervantes and Juan Bory-Reyes},
  journal= {arXiv preprint arXiv:2206.02269},
  year   = {2022}
}