EllipticE

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 Section 3.2.11.

See also: JacobiZeta, JacobiAmplitude.

New in Version 1.

Further Examples