3 problems

Let $\mathcal{F}_3$ be the class of functions considered in the paper, and let $R_{\mathcal{SL}}$ and $R_{\mathcal{M}(\beta)}$ denote the radii for the corresponding classes, with…

Let $\mathcal{F}_2$ be the function class considered in the paper, and let $R_{\mathcal{S}_{\mathcal{P}}}$ and $R_{\mathcal{S}^*(\alpha)}$ denote the corresponding radius constants…

Conjecture B. If $f\in\mathcal{K}_{H}^{0}$, then $f$ is fully convex of order $\alpha$ in $|z|<r_S$, where $r_C=r_C(\alpha)$ is the positive root in $(0,1)$ of $p(r,u_0)=0$. The co…