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Volume 9, Issue 3

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Elliptic Rational Functions
Miroslav D. Lutovac
Dejan V. Tosic

Properties

We implemented in Mathematica as EllipticRationalFunction[n,Xi,x].

The main properties of follow.

  • The squared function is even, .
  • Over the unit interval , is equiripple and .
  • For , .
  • is monotonic increasing: , in the interval .
  • For , .
  • The key feature of is

  • The poles of can be simply expressed in terms of the zeros of :

The next figure illustrates the equiripple property of .



     
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