Domb's numbers and Ramanujan-Sato type series for $1/\pi$

DOI10.1016/j.aim.2003.07.012zbMath1122.11087OpenAlexW1988796589WikidataQ125967187 ScholiaQ125967187MaRDI QIDQ1877885

Song Heng Chan, Heng Huat Chan, Zhi-Guo Liu

Publication date: 19 August 2004

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2003.07.012

zbMATH Keywords

Differential equations Hypergeometric series Theta functions Clausen's identity Modular equations Ramanujan-type series Domb's numbers

Mathematics Subject Classification ID

Holomorphic modular forms of integral weight (11F11) Generalized hypergeometric series, ({}_pF_q) (33C20) Classical hypergeometric functions, ({}_2F_1) (33C05) Evaluation of number-theoretic constants (11Y60)

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Domb's numbers and Ramanujan-Sato type series for \(1/\pi\)