Sharp bounds for the Landau constants

DOI10.1007/s11139-012-9436-0zbMath1276.41023OpenAlexW2053116363MaRDI QIDQ360444

Chao-Ping Chen

Publication date: 27 August 2013

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-012-9436-0

zbMATH Keywords

gamma functionasymptotic expansioninequalitypsi functionLandau constants

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Inequalities for sums, series and integrals (26D15)

Related Items (6)

New bounds and asymptotic expansions for the constants of Landau and Lebesgue ⋮ Inequalities and asymptotic expansions for the constants of Landau and Lebesgue ⋮ 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 ⋮ Multiple-correction and faster approximation

Cites Work

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• Inequalities for the Landau constants
• Some sharp estimates of the constants of Landau and Lebesgue
• New approximations of the gamma function in terms of the digamma function
• A sharp estimate of the Landau constants
• Inequalities for the constants of Landau and Lebesgue
• Product Approximations via Asymptotic Integration
• Sharp bounds of the Landau constants
• Catching Proteus: the collaborations of Wallis and Brounker. I. Squaring the circle
• On some inequalities for the gamma and psi functions

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