Bazilevic函数类的子类的性质

PROPERTIES OF THE SUBCLASSES OF BAZILEVIC FUNCTIONS

本文讨论了 Bazilevic函数的子类 Bn(α,β,σ)的不等式性质 ,运用微分从属方法得到了 Re f(z)zα+β的精确下界 ,其中 f(z)∈ Bn(α,β,σ) ,它推广了一些作者的有关工作 .同时得到几个相关结果 .

In this paper,the inequality properties of the subclasses B n(α,β,σ) of Bazilevic functions are discussed,the sharp lower bound of  Re f(z)z α+iβ  for f(z)∈B n(α,β,σ) is obtained by using the differential subordination method.It generalizes the related works of some authors.At the same time,some related results are obtainesd.