映象面积为有界的解析函数两种自身结合函数的若干结果

Some Conclusions of Two Kinds of Self Combining Analytic Functions With Limited Image Area

本文对属于函数族S_x的函f(z),引进两种类似于Hadamard乘积的结合形式,所得的自身结合函数为F(z)和G(z),我们的目的是讨论函数F(z)和G(z)在单位圆内的一些性质。

Two kinds of combining forms similiar to Hadamard product are introduced to function f(2)in S_π. Self combining functions F(2)and G(2)are obtained. The aim of the paper is to discuss the features of F(2)and G(2)in unit circle.