Ramanujan-like formulae for $$\pi $$ π and $$1/\pi $$ 1 / π via Gould–Hsu inverse series relations,The Ramanujan Journal

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Ramanujan-like formulae for $$\pi $$ π and $$1/\pi $$ 1 / π via Gould–Hsu inverse series relations
The Ramanujan Journal ( IF 0.7 ) Pub Date : 2021-02-22 , DOI: 10.1007/s11139-020-00337-z
Wenchang Chu

Applying the multiplicate forms of Gould–Hsu inverse series relations to the Pfaff–Saalschütz summation theorem, we establish several infinite series expressions for $\pi $ and $1/\pi $, including three typical ones due to Ramanujan (Journal of Mathematics 45:350–372, 1914)

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