GAUSS SUMMATION AND RAMANUJAN-TYPE SERIES FOR 1/π
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Publication:3225618
DOI10.1142/S1793042112500169zbMath1241.33005arXiv1805.06568OpenAlexW2963739663MaRDI QIDQ3225618
Publication date: 22 March 2012
Published in: International Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1805.06568
Gamma, beta and polygamma functions (33B15) Classical hypergeometric functions, ({}_2F_1) (33C05) Numerical summation of series (65B10) Calculation of integer sequences (11Y55)
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Cites Work
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- Domb's numbers and Ramanujan-Sato type series for \(1/\pi\)
- Hypergeometric identities for 10 extended Ramanujan-type series
- Ramanujan's series for \(1/\pi \) arising from his cubic and quartic theories of elliptic functions
- Dougall’s bilateral ₂𝐻₂-series and Ramanujan-like 𝜋-formulae
- Ramanujan's Series for 1/π: A Survey
- NEW REPRESENTATIONS FOR APÉRY‐LIKE SEQUENCES
- Extremal Modular Lattices, McKay Thompson Series, Quadratic Iterations, and New Series for π
- Using Fourier-Legendre expansions to derive series for \(\frac{1}{\pi}\) and \(\frac{1}{\pi^{2}}\)
