Region of variability for certain subclass of univalent functions

Jnana Preeti Parlapalli, Vasudevarao Allu

Let $\mathbb{D}:=\{z\in \mathbb{C}:|z|<1\}$ be the unit disk. For $0<\alpha <1$, let $f_{\alpha }(z)=z/(1-z^{\alpha })$ for $z\in \mathbb{D}$. We consider the class $\mathcal{F}$ of analytic functions…