Proof of a conjecture of Granath on optimal bounds of the Landau constants

DOI10.1016/j.jat.2015.12.004zbMath1382.30046arXiv1505.00304OpenAlexW2156589503WikidataQ123182078 ScholiaQ123182078MaRDI QIDQ5965177

Wen-Gao Long, Chun-Ru Zhao, Yu-Qiu Zhao

Publication date: 2 March 2016

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.00304

zbMATH Keywords

asymptotic expansionhypergeometric functionsecond-order linear difference equationLandau constantssharper bound

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Special sequences and polynomials (11B83) Classical hypergeometric functions, ({}_2F_1) (33C05) General theory of univalent and multivalent functions of one complex variable (30C55) Coefficient problems for univalent and multivalent functions of one complex variable (30C50) Applications of difference equations (39A60)

Related Items (1)

Unified treatment of several asymptotic expansions concerning some mathematical constants

Uses Software

• DLMF

Cites Work

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• Inequalities for the constants of Landau and Lebesgue
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• Landau constants and their q-analogues

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