On the fekete-szegö problem

In the thesis, an inequalitiy related to Fekete-Szegö prooblem for a special subclass of analytic functions are obtained, and the sharp bounds are found for these inequalities. Firstly, some definitions and theorems which based on complex analysis are given. After, univalent functions and some significant subclasses of these functions are presented. Furthermore, subordination principle and starlike functions are given. Also, convex and close to convex functions are expressed. Lastly, we mention about the inequality of Fekete-Szegö.