EllipticK

EllipticK[m]

gives the complete elliptic integral of the first kind .

Details

  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • EllipticK is given in terms of the incomplete elliptic integral of the first kind by .
  • EllipticK[m] has a branch cut discontinuity in the complex m plane running from to .
  • For certain special arguments, EllipticK automatically evaluates to exact values.
  • EllipticK can be evaluated to arbitrary numerical precision.
  • EllipticK automatically threads over lists.

Examples

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Basic Examples  (3)

Evaluate numerically:

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Scope  (7)

Generalizations & Extensions  (1)

Applications  (5)

Properties & Relations  (7)

Possible Issues  (3)

Neat Examples  (1)

See Also

EllipticF  EllipticE  EllipticPi  JacobiZeta  EllipticNomeQ  ArithmeticGeometricMean

Tutorials

Introduced in 1988
(1.0)