3 problems

Milin's conjecture. For every $f\in\mathcal{S}$ and every integer $n\geq 2$,

Pommerenke's conjecture. For every $f\in\mathcal{S}^*$ and every integer $n\geq 2$,

Integer and half-integer coefficient classification conjecture. Every $f\in \mathcal {S}_H^0(\frac{1}{2}{\mathbb Z})$ is one of the twenty-seven functions in