A simple example of a new class of Landen transformation
Classical Analysis and ODEs
2007-07-27 v1
Abstract
The rational Landen transformation is a map on the coefficients of a rational integrand that preserves the value of the integral. This is the rational analog of the classical Landen transformations for elliptic integrals that leads to the arithmetic-geometric mean of Legendre and Gauss. We present the effect of this transformation in the simplest possible case.
Cite
@article{arxiv.0707.3911,
title = {A simple example of a new class of Landen transformation},
author = {Dante Manna and Victor H. Moll},
journal= {arXiv preprint arXiv:0707.3911},
year = {2007}
}
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12 pages