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.
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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). |
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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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