# Complex Analysis/Elliptic functions

**Definition (elliptic function)**:

An **elliptic function** is a function such that there exists a lattice a basis of which satisfies

- .

**Definition (elliptic function)**:

An **elliptic function** is a function $f\in M(\mathbb {C} )$ such that there exists a lattice $L\subset \mathbb {C}$ a basis $\{w_{1},w_{2}\}$ of which satisfies

- $\forall z\in \mathbb {C} :f(z+w_{1})=f(z)=f(z+w_{2})$.