When the modulus m is a real number in the interval , JacobiAmplitude is the inverse function of EllipticF (both being considered as functions of the first argument).
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This is the derivative with respect to the first argument.
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This is the series expansion in u around to order .
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, JacobiAmplitude is the inverse function of EllipticF (both being considered as functions of the first argument). 
to order 
. 
![[ja]](/common/images2003/lang_bottom_ja.gif)