EllipticF

Usage

• EllipticF[, m] gives the elliptic integral of the first kind .

Notes

• 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 3.2.12 for a discussion of argument conventions for elliptic integrals.

• New in Version 1.