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

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dc.creatorRogers, Mathew D.
dc.date2007-04-18
dc.date2008-05-16
dc.date.accessioned2026-07-07T09:38:54Z
dc.date.available2026-07-07T09:38:54Z
dc.descriptionNew 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 $1/π$.
dc.description14 Pages
dc.identifierhttps://arxiv.org/abs/0704.2438
dc.identifierhttp://arxiv.org/abs/0704.2438
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/160984
dc.subjectNumber Theory
dc.subject33C20; 33C05; 11F66
dc.titleNew $_5F_4$ hypergeometric transformations, three-variable Mahler measures, and formulas for $1/π$
dc.typetext

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