Abstract
The general summation theorem for well-poised 5 F 4-series discovered by Dougall (Proc. Edinb. Math. Soc. 25:114–132, 1907) is shown to imply several infinite series of Ramanujan-type for 1/π and 1/π 2, including those due to Bauer (J. Reine Angew. Math. 56:101–121, 1859) and Glaisher (Q. J. Math. 37:173–198, 1905) as well as some recent ones by Levrie (Ramanujan J. 22:221–230, 2010).
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Chu, W. π-formulas implied by Dougall’s summation theorem for 5F4-series. Ramanujan J 26, 251–255 (2011). https://doi.org/10.1007/s11139-010-9274-x
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DOI: https://doi.org/10.1007/s11139-010-9274-x