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arXiv · 0704.2438

New $_5F_4$ hypergeometric transformations, three-variable Mahler measures, and formulas for $1/π$

Mathew D. Rogers
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Abstract

New relations are established between families of three-variable Mahler measures. Those identities are then expressed as transformations for the $_5F_4$ hypergeometric function. We use these results to obtain two explicit $_5F_4$ evaluations, and several new formulas for $1/π$.

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Mathew D. Rogers. 2008-05-16. New $_5F_4$ hypergeometric transformations, three-variable Mahler measures, and formulas for $1/π$. https://arxiv.org/abs/0704.2438

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