| 由Srivastava-Khairnar-More算子定义的$p$叶函数类的包含关系 |
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| 引用本文： | 汤获,邓冠铁,李书海.由Srivastava-Khairnar-More算子定义的$p$叶函数类的包含关系[J].数学研究及应用,2014,34(2):187-196. |
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| 作者姓名： | 汤获 邓冠铁 李书海 |
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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;赤峰学院数学与统计学院, 内蒙古 赤峰 024000 |
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| 基金项目： | 国家自然科学基金(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(Grant No.2010MS0117). |
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| 摘 要： | In the present paper, we use the methods of differential subordination and convo- lution to investigate some inclusion properties for certain classes of p-valent analytic functions in the open unit disk, which are associated with the Srivastava-Khairnar-More operator. The results presented here include several previous known results as their special cases.
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| 关 键 词： | p叶函数 包含关系 多操作 p叶解析函数 塔 单位圆盘 微分从属 包容性 |
| 收稿时间： | 4/1/2013 12:00:00 AM |
| 修稿时间： | 7/9/2013 12:00:00 AM |
Inclusion Relationships for Certain Classes of p-Valent Functions Involving the Srivastava-Khairnar-More Operator |
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| Huo TANG,Guantie DENG and Shuhai LI.Inclusion Relationships for Certain Classes of p-Valent Functions Involving the Srivastava-Khairnar-More Operator[J].Journal of Mathematical Research with Applications,2014,34(2):187-196. |
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| Authors: | Huo TANG Guantie DENG and Shuhai LI |
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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;School of Mathematics and Statistics, Chifeng University, Inner Mongolia 024000, P. R. China |
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| Abstract: | In the present paper, we use the methods of differential subordination and convolution to investigate some inclusion properties for certain classes of $p$-valent analytic functions in the open unit disk, which are associated with the Srivastava-Khairnar-More operator. The results presented here include several previous known results as their special cases. |
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| Keywords: | analytic functions $p$-valent functions subordination Hadmard product (or convolution) Srivastava-Khairnar-More operator |
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