Three omitted values and non-Blaschke point divisors in half-planes

Quanyu Tang, Bokai Cui, Wei He +4

We construct a real meromorphic function $F$ on $\mathbb{C}$ such that $F^{-1}(\{0,1,\infty \})\subset \mathbb{R}$, while $F$ is not of bounded type in either half-plane. More strongly…