EXAMPLES ON EXCEPTIONAL VALUES OF MEROMORPHIC FUNCTIONS

doi:10.1016/S0252-9602(11)60319-6

数学物理学报(英文版) ›› 2011, Vol. 31 ›› Issue (4): 1327-1336.doi: 10.1016/S0252-9602(11)60319-6

EXAMPLES ON EXCEPTIONAL VALUES OF MEROMORPHIC FUNCTIONS

彭炎红, 孙道椿

School of Mathematical Sciences, South China Normal University, Guangzhou 510631, China

收稿日期:2009-09-27 出版日期:2011-07-20 发布日期:2011-07-20
基金资助:
This project was supported by the Natural Science Foundation of China(10161006).

EXAMPLES ON EXCEPTIONAL VALUES OF MEROMORPHIC FUNCTIONS

PENG Yan-Hong, SUN Dao-Chun

School of Mathematical Sciences, South China Normal University, Guangzhou 510631, China

Received:2009-09-27 Online:2011-07-20 Published:2011-07-20
Supported by:
This project was supported by the Natural Science Foundation of China(10161006).

摘要/Abstract

摘要：

In this paper, by means of the definition of Borel exceptional value method, another exceptional value of meromorphic function which is a T exceptional value is defined by linking the concept of T direction. And we construct a meromorphic function with zero as Borel exceptional value, but not as T exceptional value; and another meromorphic function with zero as T exceptional value, but not as Borel exceptional value.

关键词: meromorphic function, Borel exceptional value, T exceptional value

Abstract:

Key words: meromorphic function, Borel exceptional value, T exceptional value

中图分类号:

30D35

彭炎红, 孙道椿. EXAMPLES ON EXCEPTIONAL VALUES OF MEROMORPHIC FUNCTIONS[J]. 数学物理学报(英文版), 2011, 31(4): 1327-1336.

PENG Yan-Hong, SUN Dao-Chun. EXAMPLES ON EXCEPTIONAL VALUES OF MEROMORPHIC FUNCTIONS[J]. Acta mathematica scientia,Series B, 2011, 31(4): 1327-1336.

[1]	Nguyen Van THIN. NORMAL FAMILY OF MEROMORPHIC FUNCTIONS SHARING HOLOMORPHIC FUNCTIONS AND THE CONVERSE OF THE BLOCH PRINCIPLE[J]. 数学物理学报(英文版), 2017, 37(3): 623-656.
[2]	高凌云. ON ENTIRE SOLUTIONS OF TWO TYPES OF SYSTEMS OF COMPLEX DIFFERENTIAL-DIFFERENCE EQUATIONS[J]. 数学物理学报(英文版), 2017, 37(1): 187-194.
[3]	陈玮, 田宏根, 扈培础. NORMAL FAMILIES OF MEROMORPHIC FUNCTIONS WITH SHARED VALUES[J]. 数学物理学报(英文版), 2016, 36(1): 87-93.
[4]	袁文俊, Weiling XIONG, Jianming LIN, Yonghong WU. ALL MEROMORPHIC SOLUTIONS OF AN AUXILIARY ORDINARY DIFFERENTIAL EQUATION AND ITS APPLICATIONS[J]. 数学物理学报(英文版), 2015, 35(5): 1241-1250.
[5]	吴昭君, 陈生安, 陈裕先. CHARACTERISTIC FUNCTION AND DEFICIENCY OF MEROMORPHIC FUNCTIONS IN THE PUNCTURED PLANE[J]. 数学物理学报(英文版), 2015, 35(3): 673-680.
[6]	曹红哲, 曹廷彬. TWO MEROMORPHIC FUNCTIONS SHARE SOME PAIRS OF SMALL FUNCTIONS WITH TRUNCATED MULTIPLICITIES[J]. 数学物理学报(英文版), 2014, 34(6): 1854-1864.
[7]	张继龙, 杨连中. DIFFERENTIAL POLYNOMIALS SHARING ONE VALUE[J]. 数学物理学报(英文版), 2014, 34(6): 1865-1874.
[8]	李效敏, 仪洪勋. UNIQUENESS OF MEROMORPHIC FUNCTIONS WHOSE NONLINEAR DIFFERENTIAL POLYNOMIALS SHARE ONE VALUE OR HAVE THE SAME FIXED POINTS IN AN ANGULAR DOMAIN[J]. 数学物理学报(英文版), 2014, 34(3): 593-609.
[9]	陈宗煊. ON THE DIFFERENCE COUNTERPART OF BRÜCK´S CONJECTURE[J]. 数学物理学报(英文版), 2014, 34(3): 653-659.
[10]	Jacek DZIOK. MEROMORPHIC FUNCTIONS WITH BOUNDED BOUNDARY ROTATION[J]. 数学物理学报(英文版), 2014, 34(2): 466-472.
[11]	Mohamed K. AOUF, Teodor BULBOACA, Rabha M. EL-ASHWASH. SUBORDINATION PROPERTIES OF MULTIVALENT FUNCTIONS INVOLVING AN EXTENDED FRACTIONAL DIFFERINTEGRAL OPERATOR[J]. 数学物理学报(英文版), 2014, 34(2): 367-379.
[12]	吴昭君. AN INEQUALITY ON THE ZEROS AND POLES OF VECTOR VALUED MEROMORPHIC FUNCTIONS[J]. 数学物理学报(英文版), 2014, 34(2): 380-386.
[13]	刘永, 祁晓光. UNIQUENESS OF DIFFERENCE POLYNOMIALS OF MEROMORPHIC FUNCTIONS[J]. 数学物理学报(英文版), 2014, 34(2): 444-452.
[14]	Muhammad ARIF, Janusz SOK′O l, Muhammad AYAZ. SUFFICIENT CONDITION FOR FUNCTIONS TO BE IN A CLASS OF MEROMORPHIC MULTIVALENT SAKAGUCHI TYPE SPIRAL-LIKE FUNCTIONS[J]. 数学物理学报(英文版), 2014, 34(2): 575-578.
[15]	雷春林, 方明亮, 曾翠萍. SOME NORMALITY CRITERIA OF MEROMORPHIC FUNCTIONS[J]. 数学物理学报(英文版), 2013, 33(6): 1667-1674.

EXAMPLES ON EXCEPTIONAL VALUES OF MEROMORPHIC FUNCTIONS

EXAMPLES ON EXCEPTIONAL VALUES OF MEROMORPHIC FUNCTIONS

PDF (PC)

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

Metrics

本文评价

推荐阅读 10