具有复阶的解析函数族

On Certain Subclasses of Analytic Functions with Complex Order

该文引入并研究了两类具有复阶的解析函数族P(λ,b,n,A,B)、P(λ,b,n,A,B)的多种性质,特别是函数族P(λ,b,n,A,B)的一个充分条件以及其系数估计的性质,还考虑了函数族P(λ,b,n,A,B)的一个从属条件以及部分和等问题.该文所得到的结果推广了一些已有的定理.

The author introduces and investigates the various properties and characteristics of two subclasses P（λ,b,n,A,B） andP（λ,b,n,A,B） of analytic functions with complex order.In particular,a sufficient condition for a function to be in P（λ,b,n,A,B） and coefficient estimates of the class are studied.Furthermore,a subordination relationship involving the function class P（λ,b,n,A,B） and partial sums of this class are considered.The results obtained in the paper extend some known theorems.