摘要
本文定义了线性同胚于星象函数的-族解析函数A(,α).我们导出A(α)中函数的积分表达式:借助算子理论研究A(,α)族的包含关系并确定它的闭凸包、闭凸包的极值点和它的支撑点;利用一个阶微分从属证明关于实部的二个不等式.最后,我们还证明A(,α)中函数的偏差定理.
This paper defines a family analyticfunctions A( ,α)of linear homeomorphicandstarlike functions。We deduce the integral expressionof functions in A( ,α);with the hilpof operatortheory study contain relation of family A(,α)andprove convolution theorem ,determine its close convexhull ,extreme points of close convex hull and its supportpoints;making use of differential subordination prove on ainequalityof realpart ,Lastly ,we also showthat the distortiontheoremof functions in A(,α)。
出处
《数学学报(中文版)》
SCIE
CSCD
北大核心
1997年第3期385-394,共10页
Acta Mathematica Sinica:Chinese Series
基金
内蒙古自治区自然科学基金
关键词
星象函数
线性同胚
极值点
微分从属
解析函数
Starlike function ,Linear ho9meomorphic ,Extreme point ,Support point,Differential subordination ,Best control