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| 摘要: |
| 本文研究了由Dziok-Srivastava算子H(a1,…,aq;b1,…,bs)定义的关于参数bj ∈ C\Z0-(Z0-=0,-1,-2,…;j=1,2,…,s)的多叶解析函数类Wp(H(bj+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. |
| 关键词: 解析函数 从属 卷积 Dziok-Srivastava 算子 星象函数 凸象函数 |
| DOI： |
| 分类号:O174.51 |
| 基金项目: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) and Higher School Foundation of Inner Mongolia (NJzc08160). |
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| PROPERTIES OF MULTIVALENT ANALYTIC FUNCTIONS ASSOCIATED WITH THE DZIOK-SRIVASTAVA OPERATOR |
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TANG Huo,DENG Guan-tie
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| Abstract: |
| In the present paper, we study the class Wp(H(bj + 1); A, B) of multivalent analytic functions with respect to the parameters bj ∈ C \ Z0- (Z0-=0, -1, -2, …; j=1,2, …, s), which is deflned by the Dziok-Srivastava operator H(a1, …, aq; b1, …, bs). By using the methods of difierential subordination and the properties of convolution, we obtain the characterization properties and inclusion results for this class, which generalize some previous known results. |
| Key words: analytic functions subordination Hadamard product (or convolution) DziokSrivastava operator starlike functions convex functions |
