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EllipticK

EllipticK[m]
gives the complete elliptic integral of the first kind K(m).
  • 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 1 to ∞.
  • For certain special arguments, EllipticK automatically evaluates to exact values.
  • EllipticK can be evaluated to arbitrary numerical precision.
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