Sharp estimates for Hübner's upper bound function with applications

DOI10.1007/S11766-010-2203-3zbMath1240.30092OpenAlexW2074122534MaRDI QIDQ550051

Liangyu Ren, Song-Liang Qiu

Publication date: 19 July 2011

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11766-010-2203-3

zbMATH Keywords

estimatemodular equationHersch-Pfluger distortion functionHübner's inequalityquasiconformal Schwarz lemma

Mathematics Subject Classification ID

Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80) Quasiconformal mappings in the complex plane (30C62)

Related Items (4)

Monotonicity and concavity properties of the Gaussian hypergeometric functions, with applications ⋮ Monotonicity theorems and inequalities for the Hübner function with applications ⋮ Infinite series formula for Hübner upper bound function with applications to Hersch-Pfluger distortion function ⋮ An asymptotically sharp coefficients estimate for harmonic \(K\)-quasiconformal mappings

Cites Work

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• Distortion theorems of plane quasiconformal mappings
• Some inequalities for the Hersch-Pfluger distortion function
• Generalized elliptic integrals and modular equations
• Elliptic functions and applications
• Grötzsch ring and quasiconformal distortion functions

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