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arXiv 2007-07-26 0 views

Landen transformations and the integration of rational functions

Boros, George · Moll, Victor H.

Original · EN

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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