Inclusion Relationships for $p$-Valent Analytic Functions Involving the Dziok-Srivastava Operator
Received:November 12, 2013  Revised:March 07, 2014
Key Words: analytic functions   subordination   Hadmard product (or convolution)   Dziok-Srivastava operator.  
Fund Project:Supported by the National Natural Science Foundation of China (Grant No.11271045), the Funds of Doctoral Programme of China (Grant No.20100003110004) and the Natural Science Foundation of Inner Mongolia Province (Grant Nos.2010MS0117; 2014MS0101).
Author NameAffiliation
Huo TANG School of Mathematics and Statistics, Chifeng University, Inner Mongolia 024000, P. R. China
School of Mathematical Sciences, Beijing Normal University, Beijing 100875, P. R. China 
Guantie DENG School of Mathematical Sciences, Beijing Normal University, Beijing 100875, P. R. China 
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Abstract:
      In this paper, we use the methods of differential subordination and the properties of convolution to investigate the class $W_p(\mathcal{H}(a_i,b_j);\phi)$ of multivalent analytic functions, which is defined by the Dziok-Srivastava operator $\mathcal{H}(a_1,\ldots,a_q;b_1,\ldots,b_s)$. Some inclusion properties for this class are obtained.
Citation:
DOI:10.3770/j.issn:2095-2651.2014.06.007
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