平均单叶函数的几个问题

Some Problems on Mean-Univalent Functions

设 S(θ_1、θ_2,…,θ_k)表示具有 K 个增长方向的平均单叶函数族,本文通过建立所研究的函数族的对数系数不等式,获得了■(θ_1、θ_2…,θ_k)族的表示式及增长方向的唯一性,同时也对平均单叶奇函数的系数进行了估计。

Let S(θ_1^-…,θ_k)be the class of mean-univalent functions with K directions of growth.By the study of logarithmic coefficients inequalities of the functions in this class,We obtain the representation formula of (θ_1…,θ_k)class and prove the unique of the direction gromth. Meanwhile,we give a estimate of the coefficients of odd mean-univalent functions.