Weierstrass's Elliptic Function is Doubly Periodic

Theorem

Weierstrass's elliptic function $\map \wp {z; \omega_1, \omega_2}$ is doubly periodic in $2 \omega_1$ and $2 \omega_2$.

Proof

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Sources

• 1920: E.T. Whittaker and G.N. Watson: A Course of Modern Analysis (3rd ed.): $20.21$: Periodicity and other properties of $\map \wp z$