gives the Jacobi elliptic function .


  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • , where .
  • is a doubly periodic function in with periods and , where is the elliptic integral EllipticK.
  • JacobiDS is a meromorphic function in both arguments.
  • For certain special arguments, JacobiDS automatically evaluates to exact values.
  • JacobiDS can be evaluated to arbitrary numerical precision.
  • JacobiDS automatically threads over lists.
Introduced in 1988