论文标题
使用Schwarzian衍生品的Starlikeness标准
Criteria for Starlikeness Using Schwarzian Derivatives
论文作者
论文摘要
对于在复杂平面中开放单位磁盘上定义的归一化分析函数f，我们确定了几个足够的条件，可以根据商q_ {st}：= zf'（z）/f（z）/f（z），q_ {cv}：= 1+zf“ q_ {sd}：= z^2（（f“（z）/f'（z））' - （f“（z）/f'（z））^2/2）$。
For a normalised analytic function f defined on the open unit disk in the complex plane, we determine several sufficient conditions for starlikeness in terms of the quotients Q_{ST}:=zf'(z)/f(z), Q_{CV}:=1+zf"(z)/f'(z) and the Schwarzian derivative Q_{SD}:=z^2((f"(z)/f'(z))'-(f"(z)/f'(z))^2/2)$. These conditions were obtained by using the admissibility criteria of starlikeness in the theory of second order differential subordination.
