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BUILT-IN MATHEMATICA SYMBOL
EllipticE
EllipticE[m]
gives the complete elliptic integral 
.
EllipticE[
, m]
gives the elliptic integral of the second kind 
.
Details
- 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.
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