= Jacobi Elliptic Functions =

== Introduction ==

There are many definitions for the Jacobi elliptic functions.  We
refer the reader to [http://dlmf.nist.gov/22.2 DLMF 22.2] for more
information on definitions.

However, in our definitions, we use the parameter ''m'' instead of the
modular angle ''alpha'' or the modulus ''k''.  These are related by
the following expressions:
{{{
  m = k^2
  m = sin(alpha)
}}}

=== Sn ===
{{{(jacobi-sn u m)}}}

Jacobi ''sn'' function

=== Cn ===
{{{(jacobi-cn u m)}}}

Jacobi ''cn'' function

=== Dn ===
{{{(jacobi-dn u m)}}}

Jacobi ''dn'' function

== References ==

 * [http://dlmf.nist.gov/22 DLMF Jacobian Elliptic Functions]
 * [http://www.convertit.com/Go/Convertit/Reference/AMS55.ASP?Res=150&Page=569&Submit=Go A&S 16]