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BUILT-IN MATHEMATICA SYMBOL
EllipticF
EllipticF[
, m]
gives the elliptic integral of the first kind 
.
Details
- Mathematical function, suitable for both symbolic and numerical manipulation.
- For
, 
. - The complete elliptic integral associated with EllipticF is EllipticK.
- EllipticF is the inverse of JacobiAmplitude. If
then 
. - EllipticF[, m] has a branch cut discontinuity running along the ray from
to infinity. - For certain special arguments, EllipticF automatically evaluates to exact values.
- EllipticF can be evaluated to arbitrary numerical precision.
- EllipticF automatically threads over lists.
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