Asymptotic expansions for the truncation error in Ramanujan-type series

DOI10.1007/s11139-022-00608-xOpenAlexW4292470883MaRDI QIDQ2084545

Lorenz Milla

Publication date: 18 October 2022

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

Full work available at URL: https://arxiv.org/abs/2108.00844

zbMATH Keywords

inequalitieshypergeometric serieserror boundsapproximationsasymptotic expansionsStirling's formulaChudnovsky algorithm

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Inequalities for sums, series and integrals (26D15) Generalized hypergeometric series, ({}_pF_q) (33C20) Symbolic computation of special functions (Gosper and Zeilberger algorithms, etc.) (33F10)

Cites Work

• Unnamed Item
• Error estimates of Ramanujan-type series
• An efficient determination of the coefficients in the Chudnovskys' series for \(1/ \pi \)
• An Elementary Proof of Binet's Formula for the Gamma Function
• Product Approximations via Asymptotic Integration
• Eisenstein series and approximations to \(\pi\)

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