Elliptic Argument

Author

Eric W. Weisstein
January 25, 2009

This notebook downloaded from http://mathworld.wolfram.com/notebooks/SpecialFunctions/EllipticArgument.nb.

For more information, see Eric's MathWorld entry http://mathworld.wolfram.com/EllipticArgument.html.

©2009 Wolfram Research, Inc. except for portions noted otherwise

Identities

(EllipticF[(JacobiAmplitude[u, m]), m])==u

FullSimplify[EllipticF[JacobiAmplitude[u,m],m]]

FunctionExpand[%]

Table[EllipticF[JacobiAmplitude[u,m],m]-u/.{u->RandomComplex[],m->RandomComplexDisk[]},{100}]//Chop//Union