论文标题
与指数函数相关的一类类似星态函数的第三个汉克尔决定因素
Third Hankel Determinant For A Class Of Starlike Functions Associated With Exponential Function
论文作者
论文摘要
最近，由Starlike的子类功能与指数函数相关，由$ {s}^*_ e = _ e = \ {f（z）\ in {s}：{zf'（z）/{z）/{f（z）}/{f（z）} \ prec prec e^z，（ $ al。$〜\ cite {mendiratta2015subclass}。在本文中，通过改善已经知道的结果，我们可以在此方向上改善已知的结果来获得第三级汉克尔的决定因素。在我们的方法论中，我们使用新获得的表达来用于Carathéodory函数的第四个系数。
Recently, the subclass of starlike functions associated with exponential function $e^z$, given by ${S}^*_e = \{f(z)\in {S}:{zf'(z)}/{f(z)} \prec e^z, (z\in \mathbb{D}) \}$ was introduced and studied by Mendiratta $et$ $al.$ ~\cite{mendiratta2015subclass}. In this article, we obtain sharp bound for third Hankel determinant for the class $S_e^\ast$, by improving the already known results, in this direction. In our methodology, we use the newly obtained expression for the fourth coefficient of Carathéodory functions.
