Volume 9, Issue 3
Tricks of the Trade
In and Out
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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.
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