论文标题
类似星的功能子类的包含关系和半径问题
Inclusion relations and radius problems for a subclass of starlike functions
论文作者
论文摘要
通过考虑多项式函数$ ϕ_ {car}（z）= 1+z+z^2/2，$我们定义了由正常化的分析功能$ f $组成的类$ \ scar $，以便$ zf'/f $从属磁盘中的$ zf'/f $下属至$ ϕ_ {car} $。建立了与类$ \ scar $相关的包含关系和各种半径常数，以及与几个众所周知的Starlike功能子类的联系。作为应用程序，所获得的结果用于得出部分总和和卷积的性质。
By considering the polynomial function $ϕ_{car}(z)=1+z+z^2/2,$ we define the class $\Scar$ consisting of normalized analytic functions $f$ such that $zf'/f$ is subordinate to $ϕ_{car}$ in the unit disk. The inclusion relations and various radii constants associated with the class $\Scar$ and its connection with several well-known subclasses of starlike functions is established. As an application, the obtained results are applied to derive the properties of the partial sums and convolution.
