Triplicate Dual Series of Dougall–Dixon Theorem

04/04/2021

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by   Xiaojing Chen, et al.

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Applying the triplicate form of the extended Gould–Hsu inverse series relations to Dougall's summation theorem for the well–poised _7F_6-series, we establish, from the dual series, several interesting Ramanujan–like infinite series expressions for π^2 and π^±1 with convergence rate "-1/27".