Asymptotic expansions and continued fraction approximations for harmonic numbers

DOI10.2298/AADM190111020COpenAlexW2982470366MaRDI QIDQ5091844

Chao-Ping Chen, Qin Wang

Publication date: 27 July 2022

Published in: Applicable Analysis and Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/aadm190111020c

zbMATH Keywords

asymptotic expansioncontinued fractionEuler-Mascheroni constantharmonic number

Mathematics Subject Classification ID

Approximation by rational functions (41A20) Convergence and divergence of continued fractions (40A15)

Related Items (4)

Approximations to the Euler-Mascheroni constant ⋮ Optimizing the coefficients of the Ramanujan expansion ⋮ A method to construct continued-fraction approximations and its applications ⋮ Some new properties of the Barnes G-function and related results

Cites Work

• Unnamed Item
• On the coefficients of asymptotic expansion for the harmonic number by Ramanujan
• Inequalities and asymptotics for the Euler-Mascheroni constant based on DeTemple's result
• Ramanujan's enigmatic formula for the harmonic series
• Ramanujan's harmonic number expansion and two identities for Bernoulli numbers
• Ramanujan's asymptotic expansion for the harmonic numbers
• On the Ramanujan-Lodge harmonic number expansion
• On the Ramanujan harmonic number expansion
• Riordan array approach to the coefficients of Ramanujan's harmonic number expansion
• Ramanujan's formula for the harmonic number
• 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

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