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JacobiSD

JacobiSD[u, m]
gives the Jacobi elliptic function sd(u|m).
  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • , where phi=am(u❘m).
  • sd(u❘m) is a doubly periodic function in u with periods 4 K(m) and 4 ⅈ K(1-m), where K is the elliptic integral EllipticK.
  • JacobiSD is a meromorphic function in both arguments.
  • For certain special arguments, JacobiSD automatically evaluates to exact values.
  • JacobiSD can be evaluated to arbitrary numerical precision.
  • JacobiSD automatically threads over lists.
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