A Matrix form of Ramanujan-type series for $1/\pi$

zbMath1207.33012arXiv0907.1547MaRDI QIDQ3062301

Jesús Guillera

Publication date: 3 January 2011

Full work available at URL: https://arxiv.org/abs/0907.1547

zbMATH Keywords

modular functionsPicard-Fuchs differential equationsRamanujan-type series for \(1/\pi\)Ramanujan-like series for \(1/\pi^2\)

Mathematics Subject Classification ID

Explicit solutions, first integrals of ordinary differential equations (34A05) Holomorphic modular forms of integral weight (11F11) Generalized hypergeometric series, ({}_pF_q) (33C20) Evaluation of number-theoretic constants (11Y60)

Related Items (8)

“Divergent” Ramanujan-type supercongruences ⋮ More hypergeometric identities related to Ramanujan-type series ⋮ A new Ramanujan-like series for \(1/\pi ^{2}\) ⋮ Ramanujan-like Series for 1/π²and String Theory ⋮ Bilateral Ramanujan-like series for 1/πk and their congruences ⋮ RAMANUJAN SERIES WITH A SHIFT ⋮ Ramanujan–Sato-Like Series ⋮ New families of double hypergeometric series for constants involving ${1}/{\pi ^2}$

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