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.
Abstract
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)。
关键词
线性同胚 /
微分从属 /
极值点 /
支撑点 /
最佳控制 /
星象函数
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赵业喜.
线性同胚于星象函数的一族解析函数. 数学学报, 1997, 40(3) https://doi.org/10.12386/A1997sxxb0049
YeXi Zhao.
A Family Analytic Functions ofLinearHomeomorphic and Starlike Functions. Acta Mathematica Sinica, Chinese Series, 1997, 40(3) https://doi.org/10.12386/A1997sxxb0049
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脚注
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