非平凡双向单叶调和映射的系数估计

Coefficients Estimates of Non-Trivial Bilateral Univalent Harmonic Mappings

研究平面上具有形式f(z)=α{βz+2i arg(γ-e^(-βz))}+δ的非平凡双向单叶调和映射,其中α,β,γ,δ是复常数且满足条件αβγ≠0。给出了定义在单位圆盘内的非平凡双向单叶调和映射的系数估计。

Planar non-trivial bilateral univalent harmonic mappings with the form f（z）=α{βz＋2i arg（γ-e^（-βz））}＋δ, are considered ,where α,β,γ,δ are constants with the condition αβγ≠0. We ob- tain some estimates of coefficients of the non - trivial bilateral univalent harmonic mappings in the u- nit disk.