关于扩张近于凸函数族的某些性质

On some Characteristics of the Extended Close-to-onvex Function

本文主要研究了扩张近于凸函数族C′的性质,第n项系数的准确估计,若f(z)∈C,′本文证得F(z)=2z0f(t)dt∈C,′并且还研究了负系数扩张近于凸函数族C0′的系数估计。

In this paper we discussed some characteristics of the extended close - to - convex function, including： the exact values of the nth coefficient; if f（z）∈C′,we proved F（z）=2/z∫0^xf（t）dt∈C′ We also discussed the coefficient estimate of the extended close - to - convex function with negative coetiicient C0′.