Sn, Cn, Dn Jacobi functions

Let u be defined by the implicit formula

Then Jacobi elliptic functions are defined as
 

u - argument, x - modulus square.

The following four equations also define the functions uniquely:
 


 MathMate syntax:            Sn(x,u), Cn(x,u), Dn(x,u) 
 Domain:                     0 <= x <= 1, u any real
See also: