Proofs of two conjectures on the Landau constants

DOI10.1016/j.jmaa.2011.10.004zbMath1246.30004OpenAlexW2017771348WikidataQ122924595 ScholiaQ122924595MaRDI QIDQ663633

Gergő Nemes

Publication date: 27 February 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.2011.10.004

zbMATH Keywords

asymptotic expansionshypergeometric functionLandau constants

Mathematics Subject Classification ID

Power series (including lacunary series) in one complex variable (30B10) Classical hypergeometric functions, ({}_2F_1) (33C05)

Related Items (10)

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 ⋮ Full asymptotic expansions of the Landau constants via a difference equation approach ⋮ Multiple-correction and continued fraction approximation ⋮ Asymptotics of Landau constants with optimal error bounds ⋮ Unified treatment of several asymptotic expansions concerning some mathematical constants ⋮ Multiple-correction and faster approximation ⋮ Proof of a conjecture of Granath on optimal bounds of the Landau constants ⋮ Landau constants and their q-analogues

Cites Work

• A note on the Landau constants
• Some sharp estimates of the constants of Landau and Lebesgue
• Sharp bounds of the Landau constants
• Near-Best Approximation by Averaging Polynomial Interpolants
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