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Distortion theorems of plane quasiconformal mappings |
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| Authors: | Xiaohui Zhang Gendi Wang Songliang Qiu |
| Affiliation: | a College of Science, Huzhou University, Huzhou 313000, PR China b College of Science, Zhejiang Sci-Tech University, Hangzhou 310018, PR China |
| Abstract: | The authors prove a conjecture on elliptic integrals and obtain sharp bounds for φK(r) and λ(K). By using Teichmüller's module theorem, the authors obtain a distortion theorem of K-quasiconformal mappings on the plane. |
| Keywords: | Elliptic integrals Quasiconformal mappings Distortion functions and inequalities |
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