Ramanujan's harmonic number expansion and two identities for Bernoulli numbers

DOI10.1007/s00025-017-0748-7zbMath1383.11026OpenAlexW2755767113MaRDI QIDQ681240

Aimin Xu

Publication date: 30 January 2018

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

Full work available at URL: https://doi.org/10.1007/s00025-017-0748-7

zbMATH Keywords

asymptotic expansionBernoulli numberidentityharmonic numberLagrange-Bürmann formula

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Bernoulli and Euler numbers and polynomials (11B68) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60)

Related Items (1)

Asymptotic expansions and continued fraction approximations for harmonic numbers

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the coefficients of asymptotic expansion for the harmonic number by Ramanujan
• Ramanujan's enigmatic formula for the harmonic series
• Generalized Leibniz functional matrices and divided difference form of the Lagrange-Bürmann formula
• Asymptotic expansions for the gamma function
• Ramanujan's asymptotic expansion for the harmonic numbers
• On the Ramanujan-Lodge harmonic number expansion
• Approximants of the Euler-Mascheroni constant and harmonic numbers
• On the harmonic number expansion by Ramanujan
• Ramanujan's Harmonic Number Expansion into Negative Powers of a Triangular Number
• An asymptotic series related to Ramanujan's expansion for the \(n\)th harmonic number

This page was built for publication: Ramanujan's harmonic number expansion and two identities for Bernoulli numbers