the Cauchy - pompeiu's representation formula in the octal of unit disk

Authors

  • Anas Qr Tishreen university
  • Hasan Baddour Tishreen University
  • Abd Albasset Younso Tishreen University

Abstract

In this research, we found the integral Cauchy – Pompeiu's formula in the octal of unit disk  of the complex plain, for the continus functions class  ,by editing the Cauchy – Pompeiu's representation in the unit disk, using the reflection method, to determine the Integral's Cauchy – Pompeiu's Operator, in this domain, the integral Cauchy – Pompeiu’s formula in a domain  ,separated onto two integrals, the first is on the boundary of the domain D ,and represents an analytic function on D, the second is on the domain , and represents the Cauchy – Pompeiu’s Operator.

Published

2022-11-22

How to Cite

1.
قر أ, حسن بدّور, عبد الباسط يونسو. the Cauchy - pompeiu’s representation formula in the octal of unit disk . TUJ-BA [Internet]. 2022Nov.22 [cited 2024May21];44(5):41-5. Available from: https://journal.tishreen.edu.sy/index.php/bassnc/article/view/12874