JacobiSN, JacobiCN, ...

JacobiSN[u, m], JacobiCN[u, m], etc. give the Jacobi elliptic functions , , etc.

There are a total of twelve functions, with the names of the form JacobiPQ, where P and Q can be any distinct pair of the letters S, C, D and N.

Mathematical functions (see Section A.3.10).

, and , where .

Other Jacobi elliptic functions can be found from the relation , where for these purposes .

See The Mathematica Book: Section 3.2.11.

See also: InverseJacobiSN.

Further Examples