Distortion theorems of plane quasiconformal mappings

[摘要] The authors prove a conjecture on elliptic integrals and obtain sharp bounds for phi K (r) and lambda(K). By using Teichmuller's module theorem, the authors obtain a distortion theorem of K-quasiconformal mappings on the plane. (c) 2005 Published by Elsevier lnc.

[发布日期] 2006-12-01

[关键词] elliptic integrals;quasiconformal mappings;distortion functions and inequalities