【摘要】 设R（α,β,γ）表示在单位圆U={z∈C:|z|<1}内形为f（z）=z+a₂z²+…且满足条件R{αf′（z）+βzf′（z）}>γ（β>0;0≤γ<α≤1;z∈U）的解析函数族;本文我们给出了函数族R（α,β,γ）的系数充要条件,星象和凸象半径,极值点以及偏差估计.所得到的结果推广了一些相关文献的结果.更多还原

【Abstract】 Let R（α,β,γ）denote the class of funtions of the form f（z）=z+a₂z²+…,Which are analytic in the unit disk U={z∈C:| z |<1}and satisfying the condition R{αf（z）+βzf′（z）}>7,（β>0;0≤γ<a≤1;z∈U）. In the present paper,we provide necessary and sufficient coefficient conditions,radius of starlikeness and convex- ity,extreme points,and distortion bounds for funtions belonging to the class.The results presented here would provide extensions of those given in earlier works.更多还原