含广义超几何函数的亚纯多叶函数类  

A Certain Class of Meromorphically Multivalent Functions Involving the Generalized Hypergeometric Function

作　　者：杨定恭[1] 

机构地区：[1]苏州大学数学科学学院,苏州215006

出　　处：《常熟理工学院学报》2009年第2期1-7,共7页Journal of Changshu Institute of Technology

摘　　要：设∑_p(p是正整数)表示有孔单位开圆盘内型为f(z)=z^(-p)+a_(1-p)z^(1-p)+…的解析函数类,利用广义超几何函数定义的线性算子,引进∑_p的子类M_p^(l,m)(α_1,λ,h),研究了其包含关系与卷积性质.Let ∑p（p∈N） be the class of functions f（z） = z^-p ＋ a1-pz^1-p ＋…analytic in the punctured open unit disk. Making use of a linear operator, which is defined here by means of the generalized hypergeometric function, we introduceand investigate a certain subclass Mp^l,m（α1 ,λ;h）of ∑ p. Some inclusion relationships and convolution properties for the function class are presented.

关 键 词：亚纯函数 多叶函数 凸单叶函数 卷积 线性算子 广义超几何函数 从属 

分 类 号：O174.51[理学—数学]