Pure Mathematics for Theoretical Computer Science PMTCS 2995-3162 10.54216/PMTCS https://www.americaspg.com/journals/show/2137 2023 2023 Faculty of Science, Mutah University, Jordan Rashel Abu Hakmeh 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. 2023 2023 23 29 10.54216/PMTCS.020202 https://www.americaspg.com/articleinfo/40/show/2137