Landen transformations and the integration of rational functions
Classical Analysis and ODEs
2007-07-27 v1
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.
Cite
@article{arxiv.0707.3910,
title = {Landen transformations and the integration of rational functions},
author = {George Boros and Victor H. Moll},
journal= {arXiv preprint arXiv:0707.3910},
year = {2007}
}
Comments
20 pages