A bicomplex (ϑ,φ)−(\vartheta,φ)-weighted fractional Borel-Pompeiu type formula

preprint2022arXivOpen access

Abstract

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

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