某一线性算子在亚纯多叶函数上的应用

Applications of a Linear Operator on Meromorphic Multivalent Functions

基于不同的算子,某些亚纯函数类的性质与特征被广泛研究.首先介绍了亚纯星像函数凸像函数、近于凸函数、拟凸函数,然后用Hadamard卷积定义了亚纯多叶函数类Σp上的线性算子In,uf(z),利用此算子定义了亚纯函数类的子类Sn*,u(α),Cn,u(α),Kn,u(β,α),Kn,*u(β,α),并给出4个子类关于参数n,u的包含关系,同时也考虑了在积分算子Ju作用下的保持关系.

Based on different operators,we investigated extensively some properties and characteristics of meromorphic functions.We first introduced the concept of meromorphic star-like functions,convex functions,close-to-convex functions and quasi-convex functions.Making use of a linear operators In,uf（z）,which was defined by means of a Hadamard product involving meromorphic multivalent functions,we defined the class of S＊n,u（α）,Cn,u（α）,Kn,u（β,α）,K＊n,u（β,α）,and acquired some inclusion relations according to the parameters n and u.Besides,we considered some integral-preserving properties.