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EllipticE

Usage

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


Notes

• Mathematical function (see Section A.3.10).
• For  ,  .
 .
• See Section 3.2.12 for a discussion of argument conventions for elliptic integrals.
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.
• See also: JacobiZeta, JacobiAmplitude.
• New in Version 1.


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