Volume 9, Issue 3
Tricks of the Trade
In and Out
Download This Issue
Staff and Contributors
Elliptic Rational Functions
Higher-order elliptic rational functions can be generated from lower-order functions by using the nesting property 
For example, .
The corresponding nesting formula can be derived for the zeros and poles of as shown in . For the zeros and poles of can be expressed symbolically in terms of without using the Jacobi elliptic functions. Here is an example.
For orders , cannot be expressed symbolically without the Jacobi elliptic functions or the like.
About Mathematica | Download Mathematica Player
© Wolfram Media, Inc. All rights reserved.