Properties of complex order starlike and convex funtions

The theory of geometric functions is the branch of a complex analysis that deals with and integrates the concept of analytics in its entirety. Complex functions theory is one of the most amazing aspects of analytical function theory. In this study, α order stellar and convex states of f(z) function are shown by using Bieberbach's assumption which is important for the development of the theory and with the help of two inequalities. The potential theory of the study was also discussed with other areas such as hyperbolic, geometric and dynamic systems.