Rational Landen transformations on the real line
Classical Analysis and ODEs
2009-11-13 v1
Abstract
The rational Landen transformation is a map on the space of coefficients of a rational integrand that preserves the value of the integral. We provide a family of these transformations that apply to rational integrands on the whole line. Given an integer m, these transformations produce a numerical scheme to evaluate the integral that is of order m.
Cite
@article{arxiv.0707.3862,
title = {Rational Landen transformations on the real line},
author = {Dante Manna and Victor H. Moll},
journal= {arXiv preprint arXiv:0707.3862},
year = {2009}
}
Comments
22 pages