Elliptic Functions for Complex Arguments
The Jacobian elliptic functions sn(w) cn(w) dn(w) are tabulated to five decimals in the complex w = u + iv plane as functions of the nome q = .005(.005).4 for u/K = 0(.1)1. and v/K' = 0(.1)1. where q = e to the minus (pi K'/K) power and K and K' are complete elliptic integrals with moduli k and k' = square root of (l-sq. k), respectively.