This is documentation for Mathematica 5, which was
based on an earlier version of the Wolfram Language.
View current documentation (Version 11.1)

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

EllipticK

FilledSmallSquare EllipticK[m] gives the complete elliptic integral of the first kind .

FilledSmallSquare Mathematical function (see Section A.3.10).

FilledSmallSquare EllipticK is given in terms of the incomplete elliptic integral of the first kind by .

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

FilledSmallSquare EllipticK[m] has a branch cut discontinuity in the complex m plane running from to .

FilledSmallSquare See Section 3.2.11.

FilledSmallSquare See also: JacobiZeta, EllipticNomeQ.

FilledSmallSquare New in Version 1.

Further Examples