New $_5F_4$ hypergeometric transformations, three-variable Mahler measures, and formulas for $1/\pi$
Number Theory
2008-05-16 v4
Abstract
New relations are established between families of three-variable Mahler measures. Those identities are then expressed as transformations for the hypergeometric function. We use these results to obtain two explicit evaluations, and several new formulas for .
Keywords
Cite
@article{arxiv.0704.2438,
title = {New $_5F_4$ hypergeometric transformations, three-variable Mahler measures, and formulas for $1/\pi$},
author = {Mathew D. Rogers},
journal= {arXiv preprint arXiv:0704.2438},
year = {2008}
}