This is documentation for Mathematica 4, which was
based on an earlier version of the Wolfram Language.
View current documentation (Version 11.2)

EllipticKEllipticE

EllipticF

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

FilledSmallSquare Mathematical function (see Section A.3.10).

FilledSmallSquare For , .

FilledSmallSquare The complete elliptic integral associated with EllipticF is EllipticK.

FilledSmallSquareEllipticF is the inverse of JacobiAmplitude. If then .

FilledSmallSquareEllipticF[, m] has a branch cut discontinuity running along the ray from to infinity.

FilledSmallSquare See Section 3.2.11 for a discussion of argument conventions for elliptic integrals.

FilledSmallSquare See The Mathematica Book: Section 3.2.11.

FilledSmallSquare See also: JacobiZeta, JacobiAmplitude.

Further Examples

EllipticKEllipticE