A subclass of analytic and bi-univalent functions defined by fractional derivative operator

In this thesis, using fractional derivative a new subclass of analytic and bi-univalent functions is defined and upper bounds for the coefficients of the functions belonging to this subclass are found. In order to make this thesis understandable to the reader, the basic definitions and theorems of the theory of complex functions are given first. After then, giving the definitions and the theorems underlying basis of the theory of univalent functions, some important subclasses of univalent functions are introduced. Furthermore, by providing the necessary information about fractional calculus and Faber polynomials, understandability of the class defined in the thesis is provided.