由线性算子定义的亚纯多叶函数的包含关系

Inclusion relation of meromorphic multivalent functions defined by a linear operator

令Σp表示形如f(z)=z-p+∞Σm=1amzm-p(p∈N),且在去心单位开圆盘D=U\{0}={z:z∈C且0<|z|<1}上解析的亚纯多叶函数类。利用一个作用在Σp上的乘积算子定义了几个新的亚纯函数的子类,并考虑了这些函数类的包含关系。关键词:亚纯函数;多叶函数;线性算子;

Let ∑p denote the class of functions normalized by f（z）=z^-p＋^（∞）∑m=1amz^m-p（p∈N）,which are analytic and p-valent in 0〈│z│〈1. Some new subclasses of the meromorphic p-valent functions are defined by using a new linear operator in ∑p. Their inclusion relations are also investigated.