由Dziok-Srivastava算子定义的多叶解析函数类的性质（英文）  

PROPERTIES OF MULTIVALENT ANALYTIC FUNCTIONS ASSOCIATED WITH THE DZIOK-SRIVASTAVA OPERATOR

作　　者：汤获[1,2] 邓冠铁[2] 

机构地区：[1]赤峰学院数学与统计学院,内蒙古赤峰024000 [2]北京师范大学数学科学学院,北京100875

出　　处：《数学杂志》2016年第3期543-551,共9页Journal of Mathematics

基　　金：Supported by National Natural Science Foundation of China(11271045);Research Fund for the Doctoral Program of China(20100003110004);Natural Science Foundation of Inner Mongolia(2010MS0117;2014MS0101);Higher School Foundation of Inner Mongolia(NJzc08160)

摘　　要：本文研究了由Dziok-Srivastava算子H(a_1,…,a_q;b_1,…,b_s)定义的关于参数b_j∈C\Z_0^-(Z_0^-=0,-1,-2,…;j=1,2,…,s)的多叶解析函数类W_p(H(b_j+1);A,B).利用微分从属的方法和卷积的性质,获得了该类函数的特征性质和包含结果,推广了一些已知结果.In the present paper,we study the class Wp（H（bj ＋ 1）;A,B） of multivalent analytic functions with respect to the parametersbj∈C／Z0^-（Z0^-=0,-1,-2,…;j=1,2,…,s）,which is defined by the Dziok-Srivastava operator H（a1,...,aq;b1,...,bS）.By using the methods of differential subordination and the properties of convolution,we obtain the characterization properties and inclusion results for this class,which generalize some previous known results.

关 键 词：解析函数 从属 卷积 Dziok-Srivastava算子 星象函数 凸象函数 

分 类 号：O174.51[理学—数学]