Two hypergeometric summation theorems and Ramanujan-type series

DOI10.1080/10652469.2013.776558zbMath1369.33005OpenAlexW2033671115MaRDI QIDQ2867917

Shuhua Qi, You Zhang, Hong-Mei Liu

Publication date: 20 December 2013

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2013.776558

zbMATH Keywords

Watson's theoremRamanujan-type seriesWhipple's theorem

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Theta series; Weil representation; theta correspondences (11F27) Generalized hypergeometric series, ({}_pF_q) (33C20)

Related Items (4)

Hypergeometric series summations and \(\pi\)-formulas ⋮ $q$-analogues of several $\pi $-formulas ⋮ Series expansions for \(1/\pi^m\) and \(\pi^m\) ⋮ NEW SERIES IDENTITIES FOR ${\frac{1}{\Pi}}$

Cites Work

• \(\pi \)-formulas implied by Dougall's summation theorem for \(_{5} F _{4}\)-series
• \(\pi\)-formulas with free parameters
• A summation formula and Ramanujan type series
• Dougall’s bilateral ₂𝐻₂-series and Ramanujan-like 𝜋-formulae
• GAUSS SUMMATION AND RAMANUJAN-TYPE SERIES FOR 1/π

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