When a meromorphic function that omits three values is of bounded type

Alexandre Eremenko, Aleksei Kulikov, Mikhail Sodin

Suppose that a function $F$ is meromorphic in the domain $\mathbb{H}(-m)=\{z:\mathrm{Im}z>-m(\mathrm{Re}z)\}$, where $m$ is an even, positive, and continuous function…