gives the amplitude 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 ϕ.
  • JacobiAmplitude is the inverse of the elliptic integral of the first kind. If , then .
  • For certain special arguments, JacobiAmplitude automatically evaluates to exact values.
  • JacobiAmplitude can be evaluated to arbitrary numerical precision.
  • JacobiAmplitude automatically threads over lists.
Introduced in 1988