EllipticK

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

Mathematical function (see Section A.3.10).

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

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

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

See Section 3.2.11.

See also: JacobiZeta, EllipticNomeQ.

New in Version 1.

Further Examples