Coefficient inequalities of subclasses of BI-univalent functions

In this thesis, a class of functions f (z) which are analytic in the open unit disk 'D == {z: lzl < 1} is denoted by .A. Next, s denote the subclass of .A consisting of univalent functions and normalized by f(O) = o and f'(O) = 1. The main subclasses of s are the classes of starlike, convex, close-to-convex and quasi-convex functions which can be represented ass•, c, X and Q respectively. Every univalent function f has an inverse function defined by 1-1 (f(z)) = z and t(f-1 (w)) = w where lwl < r0(f) and r Cf