| 摘要: |
| 本文研究了单位圆盘内关于Liu-Owa积分算子的多叶解析函数类的从属和超从属保持问题.利用微分从属的方法,获得了该类函数的中间型结果,推广和改进了一些已知结果. |
| 关键词: 解析和多叶函数 微分从属 超从属 Liu-Owa积分算子 中间型结果 |
| DOI： |
| 分类号:O174.51 |
| 基金项目:Supported by National Natural Science Foundation of China (11271045);Research Fund for the Doctoral Program of China (20100003110004);Natural Science Foundation of Inner Mongolia (2010MS0117);Higher School Foundation of Inner Mongolia (NJzc08160). |
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| DOUBLE SUBORDINATION PRESERVING PROPERTIES FOR THE LIU-OWA INTEGRAL OPERATOR |
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TANG Huo1,2, DENG Guan-tie2, LI Shu-hai1
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1.School of Mathematics and Statistics, Chifeng University, Chifeng 024000, China;2.School of Mathematical Sciences, Beijing Normal University, Beijing 100875, China
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| Abstract: |
| In the paper,we investigate subordination and superordination preserving problems for analytic and multivalent functions in the open unit disk,which are associated with the Liu-Owa integral operator.By using the method of differential subordination,we derive sandwichtype results of functions belonging to these classes,which generalize and improve some previous known results. |
| Key words: analytic and multivalent function differential subordination superordination Liu-Owa integral operator sandwich-type result |
