Jacobian Elliptic Function (Not in Base Package)

Determines the Jacobian Elliptic functions, sn, vcn, vsc, and dn, where u and k (0 is less than or equal to k, which is less than or equal to 1) are real numbers, and sn^2 + cn^2 = 1. Details

u is any real number.
k is a real number with 0 is less than or equal to k, which is less than or equal to 1.
sn(u,k) is the sn function.
cn(u,k) is the cn function.
sc(u,k) is the sc function.
error returns any error or warning condition from the VI.
dn(u,k) is the dn function.

Jacobian Elliptic Function Details

The value of sn (Jacobian Elliptic Function) is determined by the relation

where u and k are given real numbers. The other Jacobian Elliptic functions have the following definitions.