Circular Symmetrization, Subordination and Arclength problems on Convex Functions

Mari Okada, Saminathan Ponnusamy, Allu Vasudevarao +1

We study the class $\mathcal{C}(\Omega )$ of univalent analytic functions $f$ in the unit disk $\mathbb{D}=\{z\in \mathbb{C}:|z|<1\}$ of the form $f(z)=z+\sum_{n=2}^{\infty}a_n z…