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New 5 F 4 hypergeometric transformations, three-variable Mahler measures, and formulas for 1/π

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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 5 F 4 hypergeometric function. We use these results to obtain two explicit 5 F 4 evaluations, and several new formulas for 1/π.

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  1. Department of Mathematics, University of British Columbia, Vancouver, BC, V6T-1Z2, Canada

    Mathew D. Rogers

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Rogers, M.D. New 5 F 4 hypergeometric transformations, three-variable Mahler measures, and formulas for 1/π . Ramanujan J 18, 327–340 (2009). https://doi.org/10.1007/s11139-007-9040-x

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  • DOI: https://doi.org/10.1007/s11139-007-9040-x

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