EllipticE

EllipticE[m]
gives the complete elliptic integral .

EllipticE[, m]
gives the elliptic integral of the second kind .

DetailsDetails

  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • For , .
  • .
  • EllipticE[m] has a branch cut discontinuity in the complex m plane running from to .
  • EllipticE[, m] has a branch cut discontinuity running along the ray from to infinity.
  • For certain special arguments, EllipticE automatically evaluates to exact values.
  • EllipticE can be evaluated to arbitrary numerical precision.
  • EllipticE automatically threads over lists.
New in 1 | Last modified in 3
New to Mathematica? Find your learning path »
Have a question? Ask support »