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arXiv · 0707.3910

Landen transformations and the integration of rational functions

George Boros·Victor H. Moll
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Abstract

We present a rational version of the classical Landen transformation for elliptic integrals. This is employed to obtain explicit closed-form expressions for a large class of integrals of even rational functions and to develop an algorithm for the numerical integration of these functions.

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George Boros, Victor H. Moll. 2007-07-26. Landen transformations and the integration of rational functions. https://arxiv.org/abs/0707.3910

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