论文标题
某些分析功能的星光度
Starlikeness of certain analytic functions
论文作者
论文摘要
令$ f $和$ g $ BE分析功能在复杂平面的开放单元磁盘上具有$ f/g $属于$ \ Mathcal {p} $的$ f/g $，其功能的正面实际零件$ p $由$ p（0）= 1 $和$ p $ p（0）= 1 $和$ \ operatateName {re} p（re} p（z）p（z）p（z）p（z）$或z $ p $ p p | $ p | $ p |当$ g/k \ in \ mathcal {p} $中时，我们获得了功能$ f $的尖锐半径常数。
Let $f$ and $g$ be analytic functions on the open unit disk of the complex plane with $f/g$ belonging to the class $\mathcal{P} $ of functions with positive real part consisting of functions $p$ with $p(0)=1$ and $\operatorname{Re} p(z)>0$ or to its subclass consisting of functions $p$ with $|p(z)-1|<1$. We obtain the sharp radius constants for the function $f$ to be starlike of order $α$, parabolic starlike, etc. when $g/k\in\mathcal{P}$ where $k$ denotes the Koebe function defined by $k(z)=z/(1-z)^2$.
