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关于Liu-Owa积分算子的双重从属保持性质
引用本文:汤获,邓冠铁,李书海.关于Liu-Owa积分算子的双重从属保持性质[J].数学杂志,2015,35(4):789-799.
作者姓名:汤获  邓冠铁  李书海
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
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).
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
收稿时间:2013/3/31 0:00:00
修稿时间:2013/6/9 0:00:00

DOUBLE SUBORDINATION PRESERVING PROPERTIES FOR THE LIU-OWA INTEGRAL OPERATOR
TANG Huo,DENG Guan-tie and LI Shu-hai.DOUBLE SUBORDINATION PRESERVING PROPERTIES FOR THE LIU-OWA INTEGRAL OPERATOR[J].Journal of Mathematics,2015,35(4):789-799.
Authors:TANG Huo  DENG Guan-tie and LI Shu-hai
Institution:School of Mathematics and Statistics, Chifeng University, Chifeng 024000, China;School of Mathematical Sciences, Beijing Normal University, Beijing 100875, China,School of Mathematical Sciences, Beijing Normal University, Beijing 100875, China and School of Mathematics and Statistics, Chifeng University, Chifeng 024000, China
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.
Keywords:analytic and multivalent function  differential subordination  superordination  Liu-Owa integral operator  sandwich-type result
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