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Error estimates of Ramanujan-type series

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Publication:430128
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DOI10.1007/S11139-011-9300-7zbMath1247.33006OpenAlexW2011602757MaRDI QIDQ430128

Cristinel Mortici

Publication date: 20 June 2012

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

Full work available at URL: https://doi.org/10.1007/s11139-011-9300-7


zbMATH Keywords

inequalitiesapproximationsasymptotic formulas


Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Inequalities for sums, series and integrals (26D15)


Related Items (3)

Multiple-correction and continued fraction approximation. II ⋮ Asymptotic expansions for the truncation error in Ramanujan-type series ⋮ Asymptotic results of the remainder in a Ramanujan series for \(1/\pi \)




Cites Work

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  • Faster and faster convergent series for \(\zeta(3)\)
  • Ramanujan's Series for 1/π: A Survey
  • On the rapid computation of various polylogarithmic constants
  • RAMANUJAN'S CLASS INVARIANT λn AND A NEW CLASS OF SERIES FOR 1/π
  • More Formulas for π
  • The Life of π: From Archimedes to ENIAC and Beyond




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