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JacobiCS

JacobiCS[u, m]
gives the Jacobi elliptic function cs(u|m).
  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • cs(u)=cot(phi), where phi=am(u❘m).
  • cs(u❘m) is a doubly periodic function in u with periods 2 K(m) and 4 i K(1-m), where K is the elliptic integral EllipticK.
  • JacobiCS is a meromorphic function in both arguments.
  • For certain special arguments, JacobiCS automatically evaluates to exact values.
  • JacobiCS can be evaluated to arbitrary numerical precision.
  • JacobiCS automatically threads over lists.
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