UNIVALENCE OF AN INTEGRAL OPERATOR

In this paper we consider the class of univalent functions defined by the condition z2f0(z) f2(z) 1 < 1,z 2 U, where f (z) = z+a2z 2 +..., is an analytic function in the unit disc U = {z 2 C : |z| < 1}. We present univalence conditions for the operator