| 由Dziok-Srivastava算子定义的$p$叶解析函数的包含关系 |
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| 引用本文： | 汤获,邓冠铁.由Dziok-Srivastava算子定义的$p$叶解析函数的包含关系[J].数学研究及应用,2014,34(6):696-702. |
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| 作者姓名： | 汤获 邓冠铁 |
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| 作者单位： | 赤峰学院数学与统计学院, 内蒙古 赤峰 024000; 北京师范大学数学科学学院, 北京 100875;北京师范大学数学科学学院, 北京 100875 |
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| 基金项目： | 国家自然科学基金项目(Grant No.11271045); 高等学校博士点专项科研基金项目 (Grant No.20100003110004); 内蒙古自治区自然科学基金项目 (Grant No.2010MS0117). |
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| 摘 要： | In this paper, we use the methods of differential subordination and the properties of convolution to investigate the class Wp(H(ai, bj); φ) of multivalent analytic functions, which is defined by the Dziok-Srivastava operator H(a1,..., aq; b1,..., bs). Some inclusion properties for this class are obtained.
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| 关 键 词： | 解析函数 从属 Hadamard 乘积(或卷积) Dziok-Srivastava 算子. |
| 收稿时间： | 2013/11/12 0:00:00 |
| 修稿时间： | 3/7/2014 12:00:00 AM |
Inclusion Relationships for $p$-Valent Analytic Functions Involving the Dziok-Srivastava Operator |
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| Huo TANG and Guantie DENG.Inclusion Relationships for $p$-Valent Analytic Functions Involving the Dziok-Srivastava Operator[J].Journal of Mathematical Research with Applications,2014,34(6):696-702. |
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| Authors: | Huo TANG and Guantie DENG |
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| Institution: | 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;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. |
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| Keywords: | analytic functions subordination Hadmard product (or convolution) Dziok-Srivastava operator |
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