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 |
由Srivastava-Khairnar-More算子定义的$p$叶函数类的包含关系 |
Inclusion Relationships for Certain Classes of p-Valent Functions Involving the Srivastava-Khairnar-More Operator |
投稿时间:2013-04-01 修订日期:2013-07-09 |
DOI:10.3770/j.issn:2095-2651.2014.02.008 |
中文关键词: 解析函数 $p$叶函数 从属 卷积 Srivastava-Khairnar-More算子. |
英文关键词:analytic functions $p$-valent functions subordination Hadmard product (or convolution) Srivastava-Khairnar-More operator. |
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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中文摘要: |
本文利用微分从属和卷积的方法研究了单位圆盘内由Srivastava-Khairnar-More算子定义的某些$p$叶解析函数类的包含关系,所得结果推广了某些已知结论. |
英文摘要: |
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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