What are the definitions of Jacobi Elliptic Functions?

[Benjamin Goldstein]

When doing a problem on a pendulum undergoing elliptical motion, I came across sn(z), which is apparently a "Jacobi Elliptic Function". When I looked into it further, I saw that these functions are essentially circular trigonometric functions but about an ellipse instead of a perfect circle. Can someone give me a more strict definition of each of the elliptic functions? Thanks.

 

[mathman]

Try here:

http://mathworld.wolfram.com/JacobiEllipticFunctions.html

 

[Benjamin Goldstein]

Try here:

http://mathworld.wolfram.com/JacobiEllipticFunctions.html

Thanks, that’s what I was looking for.