再论有关α级预星象函数的一类解析函数

More on a class of analytic functions related to prestarlike functions of orderα

设A是在单位圆U=｛z：｜z｜＜1｝内解析且f（0）=f'（0）-1=0的函数f（z）的类．本文研究A的子类Qλ（α），f（z）Qλ（α）当且仅当满足条件其中Dλf（z）表示z／（1—z）λ＋1与f（z）的Hadamard卷积．对于λ＞0．0≤α＜1，得到Qλ（α）类的积分表达式、系数不等式和偏差定理；还确定了Qλ（α）类的闭凸包及其极值点和支撑点．

Let A be one class of analytic functions f(z) in the unit circle U=｛z: ｜ z -｜ <1 } and f(0) =f' (0) - 1= 0. This paper studies the subclass Qλ(a) of A with (a) if and only if it satisfies the following condition:where Dλf(z ) denotes the Hadamard convolution of z/ (1-z )λ+ 1 and f(z ). For λ>0 and 0 ≤ a < 1, we obtain foe integral expressions, coefficient inequalities and deviation theorems of the subclass Qλ (a), and also determine its close convex hulls along with their extreme points and support points.