Approximation formulas for Landau's constants

DOI10.1016/j.jmaa.2011.09.051zbMath1254.30045OpenAlexW2066984001MaRDI QIDQ655497

Chao-Ping Chen

Publication date: 4 January 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.09.051

zbMATH Keywords

approximationspeed of convergenceLandau's constants

Mathematics Subject Classification ID

Asymptotic representations in the complex plane (30E15)

Related Items (8)

New bounds and asymptotic expansions for the constants of Landau and Lebesgue ⋮ Inequalities and asymptotic expansions for the constants of Landau and Lebesgue ⋮ Sharp bounds for the Landau constants ⋮ Asymptotic expansions for the constants of Landau and Lebesgue ⋮ Multiple-correction and continued fraction approximation ⋮ Unified treatment of several asymptotic expansions concerning some mathematical constants ⋮ Estimates for the constants of Landau and Lebesgue via some inequalities for the Wallis ratio ⋮ Multiple-correction and faster approximation

Cites Work

• The proof of Muqattash-Yahdi conjecture
• A new Stirling series as continued fraction
• Improved convergence towards generalized Euler-Mascheroni constant
• Some sharp estimates of the constants of Landau and Lebesgue
• On new sequences converging towards the Euler-Mascheroni constant
• A sharp estimate of the Landau constants
• Inequalities for the constants of Landau and Lebesgue
• Best estimates of the generalized Stirling formula
• Product Approximations via Asymptotic Integration
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