亚纯多叶函数某一子类的局部和

A Subclass of Meromorphic Multivalent Functions of Local Sums

在去心单位圆盘E={z:0<|z|<1}内,利用线性算子Lp(a,c)定义亚纯多叶函数的子类Ωp(a,c;A,B)基础上,定义了亚纯多叶函数的邻域概念,研究了函数f(z)=z-p+∞∑k=1akzk-p在其邻域下的从属关系和局部和性质.

Making use of a linear operator Lp（a,c） we define a subclass Ωp（a,c;A,B） of meromorphic multivalent functions based on the unit disk E={z：0｜z｜1},the concept of neighborhoods of meromorphic multivalent function are defined,under the neighborhood,properties of local sums and subordination of the function f（z）=z-p＋∑∞[]k=1akzk-p are studied.