Geodesic
Distortion function and quasisymmetric mappings
Annales Polonici Mathematici, Tome 55 (1991) no. 1, pp. 361-369
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We study the relationship between the distortion function $Φ_K$ and normalized quasisymmetric mappings. This is part of a new method for solving the boundary values problem for an arbitrary K-quasiconformal automorphism of a generalized disc on the extended complex plane. 
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J. Zając. Distortion function and quasisymmetric mappings. Annales Polonici Mathematici, Tome 55 (1991) no. 1, pp. 361-369. doi: 10.4064/ap-55-1-361-369

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