论文标题
某些分析功能的星光度的半径
Radius of Starlikeness of Certain Analytic Functions
论文作者
论文摘要
本文研究了在复杂平面的开放单元磁盘上定义的分析函数$ f $，$ f/g $和$（1+z）g/z $都是某些分析功能$ g $的正函数。我们确定这些函数的半径常数属于强的恒星函数类别，顺序$α$，抛物面类似星的函数以及与Bernoulli，心脏ID，Lune，Rune，Reverse lune，RemandSiencate，Sine Sine功能，Sine Expemential功能，实质性函数和特定的Recalition Expational功能相关的Starlike函数的类别。获得的结果很清晰。
This paper studies analytic functions $f$ defined on the open unit disk of the complex plane for which $f/g$ and $(1+z)g/z$ are both functions with positive real part for some analytic function $g$. We determine radius constants of these functions to belong to classes of strong starlike functions, starlike functions of order $α$, parabolic starlike functions, as well as to the classes of starlike functions associated with lemniscate of Bernoulli, cardioid, lune, reverse lemniscate, sine function, exponential function and a particular rational function. The results obtained are sharp.
