Some Results of the Carathedory's Class

Abstract

In this paper we investigate some results on the Caratheodory’s class. Let f(z)=1+p₁z+p₂z²+p₃z³+… be analytic in the unit disc D={z/|z|≤1}, and satisfying the conditions f(0)=1,Re f(z)≥0, then the function f(z) is called the Caratheodory function.