SUFFICIENT CONDITIONS FOR STARLIKENESS

Abstract

 In this paper we will study a differential subordination of the form: az²f''(z)/f(z)+zf'(z)/f(z)<h(z) where h(z) is an univalent function in the unit disc U and we will obtain sufficient conditions of starlikeness for a function f(z)=z+a₂z²+... analytic in U. We will obtain our results by using the differential subordination method developed in [1], [2] and [3].