An application of the Schur algorithm to variability regions of certain analytic functions

Md Firoz Ali, Vasudevarao Allu, Hiroshi Yanagihara

Let $\Omega$ be a convex domain in the complex plane $\mathbb{C}$ with $\Omega \ne \mathbb{C}$, and $P$ be a conformal map of the unit disk $\mathbb{D}$ onto $\Omega$. Let ${\mathcal{F}}_{\Omega }$ be…