Definition:Doubly Periodic Function

Definition
Let $f: \C \to \C$ be a complex function.

Then $f \left({z}\right)$ is a doubly-periodic function if there exist $\omega_1, \omega_2 \in \C$ such that $\omega_1, \omega_2 \ne 0$ and $\dfrac {\omega_1} {\omega_2} \notin \R$.