Fekete-Szegö problem of Hadamard product of bi-univalent functions

In this thesis, some important definitions, lemmas, and theorems related to bi-univalent functions, Hadamard multiplication, and Fekete-Szegö inequality are given. Then, some important subclasses and properties of univalent functions and studies on coefficients in recent years are given. The class of bi-univalent functions defined by the Hadamard product was examined and the Fekete Szegö inequality of this class was obtained. A precise upper limit was found for this inequality. Finally,the obtained results about the Fekete Szegö inequality , were linked to theresults made earlier.