The Starlike Radius of a Class of Univalent Functions  

一个单叶函数族的星形半径

作　　者：蒋润荣[1] 

机构地区：[1]广西民族学院数学系

出　　处：《Chinese Quarterly Journal of Mathematics》1989年第3期40-45,共6页数学季刊（英文版）

摘　　要：We introduce notations E(r)={z:|z|>r},E=E(1), and suppose It is considered in [2] that F(z) is a starlike function in E (2^(1/2)), if The purpose of this paper is to give adifferent proof of this theorem, and extend this theorem as follows: Suppose Let ∑(λ) denote the class of all functions (1) satisfying the condition where d_n(λ) is the coeffients of the development Then the starlike radius r_0 of the class ∑(λ) is the unique solution of the algebric equation λr^(2(k+1))-2λr^(2(k+1))+λr^(2k)-(k+1-λ)r^2+k-λ=0 in (1,∞).

关 键 词：函数族 星形 展开式 数学季刊 一初 定义函数 三长 伪士 全一 任君 

分 类 号：O1[理学—数学]