Full asymptotic expansions of the Landau constants via a difference equation approach
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Publication:2449205
DOI10.1016/j.amc.2012.07.003zbMath1296.30031OpenAlexW1977687440MaRDI QIDQ2449205
Yu-Qiu Zhao, Yutian Li, Saiyu Liu, Shuai-Xia Xu
Publication date: 7 May 2014
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2012.07.003
Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Coefficient problems for univalent and multivalent functions of one complex variable (30C50) Linear difference equations (39A06)
Related Items (5)
New bounds and asymptotic expansions for the constants of Landau and Lebesgue ⋮ Inequalities and asymptotic expansions for the constants of Landau and Lebesgue ⋮ Asymptotics of Landau constants with optimal error bounds ⋮ Unified treatment of several asymptotic expansions concerning some mathematical constants ⋮ Proof of a conjecture of Granath on optimal bounds of the Landau constants
Uses Software
Cites Work
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- A note on the Landau constants
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- Asymptotic expansions for second-order linear difference equations
- Inequalities for the constants of Landau and Lebesgue
- Error bounds for asymptotic solutions of second-order linear difference equations
- ASYMPTOTICS OF ORTHOGONAL POLYNOMIALS VIA RECURRENCE RELATIONS
- Sharp bounds of the Landau constants
- Two Results of Ramanujan
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