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

Abstract

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