EllipticF[, m] gives the elliptic integral of the first kind .
Mathematical function (see Section A.3.10).
For , .
The complete elliptic integral associated with EllipticF is EllipticK.
EllipticF is the inverse of JacobiAmplitude. If then .
EllipticF[, m] has a branch cut discontinuity running along the ray from to infinity.
See Section 3.2.11 for a discussion of argument conventions for elliptic integrals.
See The Mathematica Book: Section 3.2.11.
See also: JacobiZeta, JacobiAmplitude.