EllipticE[m] gives the complete elliptic integral .
EllipticE[, m] gives the elliptic integral of the second kind .
Mathematical function (see Section A.3.10).
For , .
See Section 3.2.11 for a discussion of argument conventions for elliptic integrals.
EllipticE[m] has a branch cut discontinuity in the complex m plane running from to .
EllipticE[, m] has a branch cut discontinuity running along the ray from to infinity.
See The Mathematica Book: Section 3.2.11.
See also: JacobiZeta, JacobiAmplitude.