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arXiv · 2104.01599

Triplicate Dual Series of Dougall--Dixon Theorem

Xiaojing Chen·Wenchang Chu
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Abstract

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 $\pi^2$ and $\pi^{\pm1}$ with convergence rate "$-\frac{1}{27}$".

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Xiaojing Chen, Wenchang Chu. 2021-04-04. Triplicate Dual Series of Dougall--Dixon Theorem. https://arxiv.org/abs/2104.01599

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