$f : \mathbb{C} \rightarrow \mathbb{C}$ is an entire function such that the function $g(z)$ given by $g(z) = f\left(\frac{1}{z}\right)$ has a pole at $0$. Then $f$ is a surjective map.
$f : \mathbb{C} \rightarrow \mathbb{C}$ is an entire function such that the function $g(z)$ given by $g(z) = f\left(\frac{1}{z}\right)$ has a pole at $0$. Then $f$ is a surjective map.