gives the Jacobi elliptic function .


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