Rajesh Hossain

Schwarzian norm estimates for some classes of analytic and harmonic mappings

Let $\mathcal{A}$ be the normalized class of analytic functions $f$ in the unit disc $\mathbb{D} := \{z \in \mathbb{C} : \vert{}z\vert{}<1\}$. For $\beta>1$, let $\mathcal{N}(\beta)$ denote the subclass of $\mathcal{A}$ satisfying $\text{Re}\{1 + z f''(z)/f'(z)\}<\beta$ for $z \in \mathbb{D}$. The main purpose of this...