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  • 周建荣,王智刚.几类与线性算子相关的解析函数族[J].广西科学,2010,17(3):188-193.    [点击复制]
  • ZHOU Jian-rong,WANG Zhi-gang.Some Subclasses of Analytic Functions Associated with a Linear Operator[J].Guangxi Sciences,2010,17(3):188-193.   [点击复制]
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几类与线性算子相关的解析函数族
周建荣1, 王智刚2
0
(1.佛山科学技术学院理学院数学系, 广东佛山, 528000;2.长沙理工大学数学与计算科学学院, 湖南长沙, 410114)
摘要:
研究几类和线性算子相关的解析函数族,给出它们的从属与超从属性质,积分保持性质,卷积,包含关系,并得到一些"sandwich"型双从属结果.
关键词:  解析函数  卷积  从属  超从属  线性算子
DOI:
投稿时间:2010-02-24
基金项目:The present investigation was supported by the Scientific Research Fund of Guangdong Provincial Education Department under Grant LYM08101 and the Scientific Research Fund of Hunan Provincial Education Department under Grant 08C118 of People's Republic of China.
Some Subclasses of Analytic Functions Associated with a Linear Operator
ZHOU Jian-rong1, WANG Zhi-gang2
(1.Department of Mathematics, Foshan University, Foshan, Guangdong, 528000, China;2.School of Mathematics and Computing Science, Changsha University of Science and Technology, Changsha, Hunan, 410114, China)
Abstract:
Some new subclasses of analytic functions associated with a certain linear operator were investigated.Some properties were proved such as subordination, superordination, integral-preserving, convolution, inclusion relationships. Several sandwich-type results were also derived.
Key words:  analytic functions  hadamard product (or convolution)  subordination  super-subordination  linear operator

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