\(\pi \)-formulas implied by Dougall's summation theorem for \(_{5} F _{4}\)-series

DOI10.1007/s11139-010-9274-xzbMath1242.33009OpenAlexW2476900594MaRDI QIDQ411277

Chu, Wenchang

Publication date: 4 April 2012

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-010-9274-x

zbMATH Keywords

\(\pi\)-series of Ramanujan-typeDougall's summation theorem for \({}_5F_4\)-series

Mathematics Subject Classification ID

Generalized hypergeometric series, ({}_pF_q) (33C20) Approximation to limiting values (summation of series, etc.) (40A25) Numerical summation of series (65B10)

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Cites Work

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• Generators of some Ramanujan formulas
• Ramanujan's Eisenstein series and new hypergeometric-like series for \(1/\pi ^{2}\)
• Class number three Ramanujan type series for \(1/\pi\)
• Some binomial series obtained by the WZ-method
• Hypergeometric identities for 10 extended Ramanujan-type series
• Ramanujan's Series for 1/π: A Survey
• Ramanujan-type formulae for $1/\pi$: A second wind?
• About a New Kind of Ramanujan-Type Series
• Using Fourier-Legendre expansions to derive series for \(\frac{1}{\pi}\) and \(\frac{1}{\pi^{2}}\)

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