On Finding Cauchy – Pompeiu's Formula in The Octal Unit Disk

Rashel Abu Hakmeh

Faculty of Science, Mutah University, Jordan

Abstract

In this paper, we find the formula of Cauchy – Pompeiu's integral in the octal of unit disk of the complex plain, by using the reflection method to determine the Integral's Cauchy – Pompeiu's operator. Also, we give many related examples about the novel formula.

Keywords: Cauchy – Pompeiu's integral; reflection; Cauchy – Pompeiu's operator