Ramanujan's enigmatic formula for the harmonic series

DOI10.1007/s11139-011-9322-1zbMath1248.40001OpenAlexW2151789151MaRDI QIDQ427278

Michael D. Hirschhorn

Publication date: 13 June 2012

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

Full work available at URL: https://doi.org/10.1007/s11139-011-9322-1

zbMATH Keywords

harmonic seriesasymptotic seriesRamanujan's formula

Mathematics Subject Classification ID

Computation of special functions and constants, construction of tables (65D20) Approximation to limiting values (summation of series, etc.) (40A25) Other special functions (33E99) Numerical approximation and evaluation of special functions (33F05)

Related Items (12)

On the coefficients of asymptotic expansion for the harmonic number by Ramanujan ⋮ On the Ramanujan harmonic number expansion ⋮ Harmonic number expansions of the Ramanujan type ⋮ Stirling expansions into negative powers of a triangular number ⋮ Riordan array approach to the coefficients of Ramanujan's harmonic number expansion ⋮ Asymptotic expansions and continued fraction approximations for harmonic numbers ⋮ Ramanujan's formula for the harmonic number ⋮ Optimizing the coefficients of the Ramanujan expansion ⋮ Ramanujan's harmonic number expansion and two identities for Bernoulli numbers ⋮ Asymptotic series related to Ramanujan's expansion for the harmonic number ⋮ An asymptotic series related to Ramanujan's expansion for the \(n\)th harmonic number ⋮ Ramanujan's asymptotic expansion for the harmonic numbers

Cites Work

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