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JacobiAmplitude[u, m]
gives the amplitude am(u❘m) for Jacobi elliptic functions.
  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • JacobiAmplitude[u, m] converts from the argument u for an elliptic function to the amplitude .
  • JacobiAmplitude is the inverse of the elliptic integral of the first kind. If u=F(phi❘m), then phi=am(u❘m).
  • For certain special arguments, JacobiAmplitude automatically evaluates to exact values.
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