The Mathematica Journal
Volume 9, Issue 3

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Elliptic Rational Functions
Miroslav D. Lutovac
Dejan V. Tosic

Timing

We time how long it takes to calculate using our symbolic algorithm, EllipticRationalFunction[n,Xi,x], and the numeric algorithm [1] that we implemented in Mathematica as EllipticRationalFunctionJacobi[n,Xi,x]. The following figure shows that the proposed algorithm (solid line) runs much faster than the traditional algorithm for orders .



     
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