This is documentation for Mathematica 5, which was
based on an earlier version of the Wolfram Language.
View current documentation (Version 11.2)

Documentation / Mathematica / Built-in Functions / Mathematical Functions / Elliptic Integrals /

EllipticF

FilledSmallSquare EllipticF[, 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.

FilledSmallSquare EllipticF is the inverse of JacobiAmplitude. If then .

FilledSmallSquare EllipticF[, 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 Section 3.2.11.

FilledSmallSquare See also: JacobiZeta, JacobiAmplitude.

FilledSmallSquare New in Version 1.

Further Examples