Sun, Xiaokang; Wang, Jian; Gong, Zhimin; Deng, Yulong Estimates of the dilatation function of quasiconformal extension. (English) Zbl 1164.30374 Nat. Sci. J. Xiangtan Univ. 29, No. 3, 37-41 (2007). Summary: In this paper another Q.C extension is constructed. As \(\rho\to\infty\), we prove that the maximal dilatation satisfies \(K\leqslant\rho+o (\rho)\), where the coefficient 1 can not be improved. MSC: 30C75 Extremal problems for conformal and quasiconformal mappings, other methods Keywords:quasiconformal extension; \(\rho\)-quasisymmetric function; maximal dilatation PDF BibTeX XML Cite \textit{X. Sun} et al., Nat. Sci. J. Xiangtan Univ. 29, No. 3, 37--41 (2007; Zbl 1164.30374)