关于具有正系数的某一类解析函数

A subclass of analytic functions with positive coefficients

目的讨论在单位圆内具有正系数的一个解析函数类。方法介绍在单位圆内具有正系数的一个解析函数类B(n,m,α,β),利用解析函数的性质和不等式技巧进行讨论。结果和结论得到B(n,m,α,β)中函数的系数不等式、偏差定理、包含关系、凸的线性关系、Hadamard乘积等。

Aim To discuss about the functions with＇positive coefficients in the unit circle. Methods A subclass B（n,m,α,β） of analytic functions with positive coefficients was Introduced. The properties of analytic functions and the technique of inequality were used to discuss the functions. Resuits＇and Conclusion The coefficients estimates, distortion theorems, inclusion relations, convex linear relations and Hadamard products were proved for this function class.