A generalization of Euler's constant

DOI10.1007/s11075-007-9132-0zbMath1130.11075OpenAlexW1996624435MaRDI QIDQ2464636

Alina Sîntămărian

Publication date: 17 December 2007

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-007-9132-0

zbMATH Keywords

inequalityseriesEuler's constant

Mathematics Subject Classification ID

Convergence and divergence of series and sequences (40A05) Inequalities for sums, series and integrals (26D15) Evaluation of number-theoretic constants (11Y60) One-variable calculus (26A06)

Related Items (13)

Optimal bounds for the generalized Euler-Mascheroni constant ⋮ A new sequence related to the Euler-Mascheroni constant ⋮ The monotonicity and convexity of a function involving psi function with applications ⋮ Improved convergence towards generalized Euler-Mascheroni constant ⋮ Inequalities and asymptotics for the Euler-Mascheroni constant based on DeTemple's result ⋮ An accurate approximation of zeta-generalized-Euler-constant functions ⋮ Approximation formulas and inequalities for the Euler-Mascheroni constant ⋮ A double inequality for a generalized-Euler-constant function ⋮ Continued fraction estimates for the psi function ⋮ A New Asymptotic Series and Estimates Related to Euler Mascheroni Constant ⋮ Inequalities and monotonicity properties for the psi (or digamma) function and estimates for the Euler–Mascheroni constant ⋮ Unnamed Item ⋮ Necessary and sufficient conditions for functions involving the psi function to be completely monotonic

Cites Work

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• On a sequence transformation with integral coefficients for Euler's constant. II.
• On the computation of the Euler constant \({\gamma}\)
• Inequalities for the gamma and polygamma functions
• Arithmetical properties of some series with logarithmic coefficients
• A Quicker Convergence to Euler's Constant
• Euler constants for arithmetic progressions
• On Euler's Constant-Calculating Sums by Integrals
• On a Sequence Transformation with Integral Coefficients for Euler's Constant
• 75.9 Euler’s Constant
• 3295. Approximate evaluation of Euler’s constant

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