T- AND HAYMAN T-POINTS OF MEROMORPHIC FUNCTIONS FOR SMALL FUNCTIONS IN THE UNIT DISK

doi:10.1016/S0252-9602(12)60132-5

数学物理学报(英文版) ›› 2012, Vol. 32 ›› Issue (4): 1662-1674.doi: 10.1016/S0252-9602(12)60132-5

T- AND HAYMAN T-POINTS OF MEROMORPHIC FUNCTIONS FOR SMALL FUNCTIONS IN THE UNIT DISK

吴楠¹|郑建华²

1.Department of Mathematics, School of Science, China University of Mining and Technology (Beijing)|2.Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China

收稿日期:2009-02-24 修回日期:2011-02-22 出版日期:2012-07-20 发布日期:2012-07-20
基金资助:
The work is supported by the NSF of China(10871108).

T- AND HAYMAN T-POINTS OF MEROMORPHIC FUNCTIONS FOR SMALL FUNCTIONS IN THE UNIT DISK

WU Nan¹, ZHENG Jian-Hua²

1.Department of Mathematics, School of Science, China University of Mining and Technology (Beijing)|2.Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China

Received:2009-02-24 Revised:2011-02-22 Online:2012-07-20 Published:2012-07-20
Supported by:
The work is supported by the NSF of China(10871108).

摘要/Abstract

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 charac-teristic 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.

关键词: meromorphic functions, small functions, T-points, Hayman T-points, second fundamental theorem

Abstract:

Key words: meromorphic functions, small functions, T-points, Hayman T-points, second fundamental theorem

中图分类号:

30D10

吴楠, 郑建华. T- AND HAYMAN T-POINTS OF MEROMORPHIC FUNCTIONS FOR SMALL FUNCTIONS IN THE UNIT DISK[J]. 数学物理学报(英文版), 2012, 32(4): 1662-1674.

WU Nan, ZHENG Jian-Hua. T- AND HAYMAN T-POINTS OF MEROMORPHIC FUNCTIONS FOR SMALL FUNCTIONS IN THE UNIT DISK[J]. Acta mathematica scientia,Series B, 2012, 32(4): 1662-1674.

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T- AND HAYMAN T-POINTS OF MEROMORPHIC FUNCTIONS FOR SMALL FUNCTIONS IN THE UNIT DISK

T- AND HAYMAN T-POINTS OF MEROMORPHIC FUNCTIONS FOR SMALL FUNCTIONS IN THE UNIT DISK

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