Distortion theorems of plane quasiconformal mappings

DOI10.1016/j.jmaa.2005.11.066zbMath1105.30011OpenAlexW2039875132MaRDI QIDQ855615

Yu-Ming Chu, Song-Liang Qiu, Gen-Di Wang, Xiao-Hui Zhang

Publication date: 7 December 2006

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2005.11.066

zbMATH Keywords

quasiconformal mappingselliptic integralsdistortion functions and inequalities

Mathematics Subject Classification ID

Quasiconformal mappings in the complex plane (30C62)

Related Items (6)

Monotonicity properties of Gaussian hypergeometric functions with respect to the parameter ⋮ Sharp weighted Hölder mean bounds for the complete elliptic integral of the second kind ⋮ Monotonicity theorems and inequalities for the Hübner function with applications ⋮ Sharp estimates for Hübner's upper bound function with applications ⋮ Infinite series formula for Hübner upper bound function with applications to Hersch-Pfluger distortion function ⋮ Precise estimates for the solution of Ramanujan's generalized modular equation

Cites Work

• Distortion functions for plane quasiconformal mappings
• Some inequalities for the Hersch-Pfluger distortion function
• Inequalities for quasiconformal mappings in space
• Bounds for quasiconformal distortion functions
• Moduli of families of curves for conformal and quasiconformal mappings
• Grötzsch ring and quasiconformal distortion functions
• Functional Inequalities for Complete Elliptic Integrals and Their Ratios
• Dimension-Free Quasiconformal Distortion in n-Space
• Infinite Products and Normalized Quotients of Hypergeometric Functions
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