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无穷远点处亚纯单叶函数的拟Hadamard卷积
汤获1,2, 邓冠铁1, 李书海2
1.北京师范大学数学科学学院, 北京 100875;2.赤峰学院数学与统计学院, 内蒙古 赤峰 024000
摘要:
本文研究了圆环域U*内亚纯星象和凸象函数的某些新子类的拟Hadamard卷积.利用卷积方法,获得了该类函数的与拟Hadamard卷积有关的某些性质,推广了一些已知结果.
关键词:  解析函数  亚纯  星象  凸象  拟Hadamard卷积
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) and Higher School Foundation of Inner Mongolia (NJzc08160).
QUASI-HADAMARD PRODUCT OF MEROMORPHIC UNIVALENT FUNCTIONS AT INFINITY
TANG Huo1,2, DENG Guan-tie1, LI Shu-hai2
1.School of Mathematical Sciences, Beijing Normal University, Beijing 100875, China;2.School of Mathematics and Statistics, Chifeng University, Chifeng 024000, China
Abstract:
In this paper, we study quasi-Hadamard product problem for certain new subclasses of meromorphic starlike and convex functions in the punctured disk U*. By using the method of convolution, we derive some results associated with the quasi-Hadamard product of functions belonging to these subclasses, which generalizes some known results.
Key words:  analytic functions  meromorphic  starlike  convex  quasi-Hadamard product