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EllipticE

EllipticE[m]
gives the complete elliptic integral E(m).
EllipticE[, m]
gives the elliptic integral of the second kind E(phi❘m).
  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • For -pi/2<phi<pi/2, .
  • .
  • EllipticE[m] has a branch cut discontinuity in the complex m plane running from 1 to ∞.
  • EllipticE[, m] has a branch cut discontinuity running along the ray from csc^2(phi) to infinity.
  • For certain special arguments, EllipticE automatically evaluates to exact values.
  • EllipticE can be evaluated to arbitrary numerical precision.
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