某类单叶调和函数的解析特征

On the analytic characteristic properties for one class of univalent harmonic functions

证明了单位圆盘内的单叶调和函数的子类TS*H(λ1,λ2;α)为一族双向-Lipschitz函数,同时研究该调和函数类的模偏差估计、凸组合以及卷积,推广了Oztürk与Jahangiri等人的相应结果。

The modulus distortion estimate, convex combination and convolution for some subclass TS H＊（λ1,λ2;α） of univalent harmonic functions in the unit disk are investigated,and we prove that TS H＊（λ1,λ2;α） is a Bi - Lipschitz function class. Our results extend the corresponding ones by Ozttirk and Jahangiri.