Singular values, quasiconformal maps and the Schottky upper bound

DOI10.1007/BF02882264zbMath0972.30011OpenAlexW2032471308MaRDI QIDQ1286713

Song-Liang Qiu

Publication date: 11 November 2001

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02882264

zbMATH Keywords

Schwarz lemmaquasiconformal mapsRamanujan's generalized modular equation

Mathematics Subject Classification ID

Quasiconformal mappings in the complex plane (30C62)

Related Items (7)

Some properties of the difference between the Ramanujan constant and beta function ⋮ On the hyperbolic distance of \(n\)-times punctured spheres ⋮ Monotonicity theorems and inequalities for the Hübner function with applications ⋮ The bounds of the solutions to generalized modular equations ⋮ Monotonicity properties and inequalities related to generalized Grötzsch ring functions ⋮ Approximate convexity and concavity of generalized Grötzsch ring function ⋮ Sharp approximations for the Ramanujan constant

Cites Work

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• Inequalities for quasiconformal mappings in space
• Agard's \(\eta\)-distortion function and Schottky's theorem
• The Distortion Theorem for quasiconformal mappings, Schottky’s Theorem and holomorphic motions
• On explicit bounds in schottky' theorem
• Precise Bounds in the Theorems of Schottky and Picard
• Functional Inequalities for Hypergeometric Functions and Complete Elliptic Integrals
• Inequalities for Zero-Balanced Hypergeometric Functions
• Quasimultiplicative properties for the η-distortion function
• A note on Mori's theorem ofK-quasiconformal mappings

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