T- and Hayman T-points of meromorphic functions for small functions in the unit disk

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• 作者：Wu Nan^a ; ^{wunan2007@163.com} ; Zheng Jianhua^b ; ^{jzheng@math.tsinghua.edu.cn}
• 关键词：meromorphic functions ; small functions ; T-points ; Hayman T-points ; second fundamental theorem
• 刊名：Acta Mathematica Scientia
• 出版年：2012
• 期刊代码：1_02529602
• 类别：mt
• 出版时间：July, 2012
• 卷：32
• 期：4
• 页码：1662-1674
• 文件大小：306 K

摘要

In this article, we consider the singular points of meromorphic functions in the unit disk. We prove the second fundamental theorem for the Ahlfors-Shimizu's characteristic in the unit disk in terms of Nevanlinna theory in the angular domains, and obtain the existence of T-points and Hayman T-points dealing with small functions as target.