Landen transformations and the integration of rational functions

Authors:
George Boros;Victor H. Moll
Affiliations:
-;-
Venue:
Mathematics of Computation
Year:
2002

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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 numerical integration of these functions.