一类利用卷积定义的p叶解析函数类的系数边界

Coefficient Bounds for a Subclass of p-valent Analytic Functions by Convolution

卷积是研究解析函数的有效工具,对于解析函数的系数研究起到很大的作用.利用卷积定义了一类在单位圆盘U={z∈C:|z|<1}内的p叶解析函数类MD^(δ,p)_(a,c)(λ,b,α,β),利用正实部函数族的系数性质,得到了它的全体系数边界,同时推广了一些常用的结论.

Convolution is an effective tool to study analytic functions,which plays a significant role in the study of the coefficient of analytic functions. In this paper,a subclass MD（δ,p）（a,c）（ λ,b,α,β） of p-valent analytic functions defined by convolution in the open disc U = { z ∈ C： ｜ z ｜ 1} is introduced. The aim of the paper is to study all coefficient bounds of the above class with coefficient properties of real part functions. Many known results are generalized.