Sharp bounds of the Landau constants
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Publication:3168734
DOI10.1090/S0025-5718-2010-02428-7zbMath1232.41038MaRDI QIDQ3168734
Publication date: 19 April 2011
Published in: Mathematics of Computation (Search for Journal in Brave)
Gamma, beta and polygamma functions (33B15) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Other functions defined by series and integrals (33E20) Other analytical inequalities (26D20) Coefficient problems for univalent and multivalent functions of one complex variable (30C50)
Related Items (18)
New bounds and asymptotic expansions for the constants of Landau and Lebesgue ⋮ Inequalities and asymptotic expansions for the constants of Landau and Lebesgue ⋮ Multiple-correction and continued fraction approximation. II ⋮ Sharp bounds for the Landau constants ⋮ New continued fraction expansions and inequalities for \(n!\) into negative powers of a triangular number ⋮ 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 ⋮ A note on the Landau constants ⋮ On some convergence to the constant \(e\) and proof of Keller's limit ⋮ Some properties of a sequence arising from geometric probability for pairs of hyperplanes intersecting with a convex body ⋮ Proof of a conjecture of Granath on optimal bounds of the Landau constants ⋮ Landau constants and their q-analogues ⋮ Basic asymptotic estimates for powers of Wallis’ ratios
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