Bounds for quasiconformal distortion functions

DOI10.1006/jmaa.1996.5205zbMath0871.30019OpenAlexW1992487870MaRDI QIDQ1353800

Matti Vuorinen, Song-Liang Qiu, Mavina K. Vamanamurthy

Publication date: 3 July 1997

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

Full work available at URL: https://doi.org/10.1006/jmaa.1996.5205

zbMATH Keywords

quasiconformal Schwarz lemma

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65)

Related Items (9)

Monotonicity properties of Gaussian hypergeometric functions with respect to the parameter ⋮ Distortion theorems of plane quasiconformal mappings ⋮ Optimal Lehmer mean bounds for the $n$th power-type Toader means of n=-1,1,3 ⋮ Turán type inequalities for generalized complete elliptic integrals ⋮ Some inequalities for the generalized linear distortion function ⋮ Monotonicity theorems and inequalities for the Hübner function with applications ⋮ Modular equations and distortion functions ⋮ Topics in special functions. II ⋮ New properties for the Ramanujan \(R\)-function

Cites Work

• Distortion functions for plane quasiconformal mappings
• Special functions of quasiconformal theory
• Inequalities for quasiconformal mappings in space
• Functional inequalities, Jacobi products, and quasiconformal maps
• Functional Inequalities for Complete Elliptic Integrals and Their Ratios
• Singular values, Ramanujan modular equations, and Landen transformations
• Functional Inequalities for Hypergeometric Functions and Complete Elliptic Integrals
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