Elliptic function

Elliptic functions are a special class of complex functions that are periodic in two directions. They can be thought of as generalizations of trigonometric functions (which are periodic in one direction) to a two-dimensional lattice. Specifically, an elliptic function is a meromorphic function \( f \) defined on the complex plane that is periodic with respect to two non-collinear periods \( \omega_1 \) and \( \omega_2 \).