3 problems

Let $\mathbb{D}$ denote the unit disk and let $f\in\mathcal{S}_{Lh}$. Log-harmonic $1/e^2$-covering conjecture. The image $f(\mathbb{D})$ covers the disk … This is a covering-radiu…

Let $f(z)=zh(z)\overline{g(z)}\in\mathcal{S}_{Lh}$, where $h$ and $g$ are given by the coefficient expansions in the source. Thus, for $n\geq 1$, $a_n$ and $b_n$ denote the corresp…

Liu–et al.'s coefficient conjectures. For every integer $n\geq 1$, the coefficients satisfy