Analytic solution functions of complex variables

In this paper we will study complex functions of a complex variable. We will see that differentiability of such a function is a non-trivial prop- erty, giving rise to the concept of an analytic function. We will then studymany examples of analytic functions. This topic’s primary objective is to define and list a few key characteristicsof complex analytic functions. If a function f (z) has a complex derivativef(z), then it is analytic. In this paper we will study complex functions of a complex variable. We will see that differentiability of such a function is a non-trivial prop- erty, giving rise to the concept of an analytic function. We will then studymany examples of analytic functions. This topic’s primary objective is to define and list a few key characteristicsof complex analytic functions. If a function f (z) has a complex derivativef(z), then it is analytic.