Some Conclusions on Holomorphic Function and Analytic Function

Abstract

In many applied sciences, such as physics, engineering, etc. the holomorphic function plays an extremely important role, and at the same time, the analytic function plays an extremely important role. In this article, we tries to clarify, under certain conditions, they are the same kind of function. We will see that a function is analytic if and only if it is holomorphic. More importantly, in this process, the mathematical tools be used by us have a lot of application in many applied sciences.