线性同胚于星象函数的一族解析函数

赵业喜

数学学报 ›› 1997, Vol. 40 ›› Issue (3)

PDF(464 KB)
PDF(464 KB)
数学学报 ›› 1997, Vol. 40 ›› Issue (3) DOI: 10.12386/A1997sxxb0049
论文

线性同胚于星象函数的一族解析函数

    赵业喜
作者信息 +

A Family Analytic Functions ofLinearHomeomorphic and Starlike Functions

    YeXi Zhao
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文章历史 +

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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