ON THE SHARING VALUES OF ALGEBROID FUNCTIONS AND THEIR DERIVATIVES

doi:10.1016/S0252-9602(12)60209-4

数学物理学报(英文版) ›› 2013, Vol. 33 ›› Issue (1): 268-278.doi: 10.1016/S0252-9602(12)60209-4

ON THE SHARING VALUES OF ALGEBROID FUNCTIONS AND THEIR DERIVATIVES

刘慧芳|孙道椿

Institute of Mathematics and Informatics, Jiangxi Normal University, Nanchang 330022, China； School of Mathematics, South China Normal University, Guangzhou 510631, China

收稿日期:2011-04-09 修回日期:2011-12-17 出版日期:2013-01-20 发布日期:2013-01-20
基金资助:
This work is supported by NSF of China (112091195; 11171119; 11101096) and the STP of Education Department of Jiangxi Province, China (GJJ12179).

ON THE SHARING VALUES OF ALGEBROID FUNCTIONS AND THEIR DERIVATIVES

LIU Hui-Fang, SUN Dao-Chun

Institute of Mathematics and Informatics, Jiangxi Normal University, Nanchang 330022, China； School of Mathematics, South China Normal University, Guangzhou 510631, China

Received:2011-04-09 Revised:2011-12-17 Online:2013-01-20 Published:2013-01-20
Supported by:
This work is supported by NSF of China (112091195; 11171119; 11101096) and the STP of Education Department of Jiangxi Province, China (GJJ12179).

摘要/Abstract

摘要：

In this paper, we define the shared value of an algebroid function and its derivative on its Riemann surface. By considering the relationship between the shared values and the branch points of algebroid functions and their derivatives, we obtain some uniqueness theorems of algebroid functions sharing values with their derivatives, which ex-tend 3 IM shared values theorem of nonconstant meromorphic functions and their deriva-tives obtained by Mues-Steinmetz and Gundersen.

关键词: algebroid function, function element, shared value, uniqueness

Abstract:

Key words: algebroid function, function element, shared value, uniqueness

中图分类号:

32C20

刘慧芳, 孙道椿. ON THE SHARING VALUES OF ALGEBROID FUNCTIONS AND THEIR DERIVATIVES[J]. 数学物理学报(英文版), 2013, 33(1): 268-278.

LIU Hui-Fang, SUN Dao-Chun. ON THE SHARING VALUES OF ALGEBROID FUNCTIONS AND THEIR DERIVATIVES[J]. Acta mathematica scientia,Series B, 2013, 33(1): 268-278.

参考文献

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ON THE SHARING VALUES OF ALGEBROID FUNCTIONS AND THEIR DERIVATIVES

ON THE SHARING VALUES OF ALGEBROID FUNCTIONS AND THEIR DERIVATIVES

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