scipy.special.ellipj

scipy.special.ellipj(x1, x2[, out1, out2, out3, out4]) = <ufunc 'ellipj'>

ellipj(u, m)

Jacobian elliptic functions

Calculates the Jacobian elliptic functions of parameter m between 0 and 1, and real u.

Parameters:

m, u :

Parameters

Returns:

sn, cn, dn, ph :

The returned functions:

sn(u|m), cn(u|m), dn(u|m)

The value ph is such that if u = ellik(ph, m), then sn(u|m) = sin(ph) and cn(u|m) = cos(ph).