JacobiEpsilon

JacobiEpsilon[u, m] gives the Jacobi epsilon function ℰ(u|m).

The Jacobi epsilon function is related to elliptic integrals and is used in the theory of elliptic functions.

Examples

JacobiEpsilon[0.5, 0.3]

N[JacobiEpsilon[1, 1/2]]

Plot[JacobiEpsilon[u, 0.5], {u, 0, 4}]

*See the official Wolfram Language Reference for more details.