A note on the Landau constants

DOI10.1016/j.amc.2011.03.058zbMath1218.30147OpenAlexW1983734908MaRDI QIDQ546022

Antal Nemes, Gergő Nemes

Publication date: 24 June 2011

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2011.03.058

zbMATH Keywords

asymptotic expansionLandau constants

Mathematics Subject Classification ID

Spaces of bounded analytic functions of one complex variable (30H05)

Related Items

New bounds and asymptotic expansions for the constants of Landau and Lebesgue ⋮ Explicit identities for infinite families of series involving squared binomial coefficients ⋮ 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 ⋮ Full asymptotic expansions of the Landau constants via a difference equation approach ⋮ Multiple-correction and continued fraction approximation ⋮ Proofs of two conjectures on the Landau constants ⋮ Asymptotics of Landau constants with optimal error bounds ⋮ Unified treatment of several asymptotic expansions concerning some mathematical constants ⋮ Multiple-correction and faster approximation ⋮ Unnamed Item ⋮ Proof of a conjecture of Granath on optimal bounds of the Landau constants ⋮ Landau constants and their q-analogues

Uses Software

• DLMF

Cites Work

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