Sharp inequalities and asymptotic series of a product related to the Euler-Mascheroni constant

DOI10.1016/j.jnt.2016.01.021zbMath1401.11161OpenAlexW2290922295MaRDI QIDQ271775

Chao-Ping Chen

Publication date: 20 April 2016

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2016.01.021

zbMATH Keywords

asymptotic expansioninequalityEuler-Mascheroni constant

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Evaluation of number-theoretic constants (11Y60)

Related Items (2)

Monotonicity and convexity involving generalized elliptic integral of the first kind ⋮ Three notes on Ser's and Hasse's representations for the zeta-functions

Cites Work

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• Estimations of psi function and harmonic numbers
• Double integrals and infinite products for some classical constants via analytic continuations of Lerch's transcendent
• A Faster Product for $\pi$ and a New Integral for ln $\frac{\pi}{2}$
• On some inequalities for the gamma and psi functions

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