关于Liu-Owa积分算子的双重从属保持性质（英文）  

DOUBLE SUBORDINATION PRESERVING PROPERTIES FOR THE LIU-OWA INTEGRAL OPERATOR

作　　者：汤获[1,2] 邓冠铁[2] 李书海[1] 

机构地区：[1]赤峰学院数学与统计学院,内蒙古赤峰024000 [2]北京师范大学数学科学学院,北京100875

出　　处：《数学杂志》2015年第4期789-799,共11页Journal of Mathematics

基　　金：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.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.

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 

分 类 号：O174.51[理学—数学]