Acta mathematica scientia, Series B >
ON THE SHARING VALUES OF ALGEBROID FUNCTIONS AND THEIR DERIVATIVES
Received date: 2011-04-09
Revised date: 2011-12-17
Online 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).
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.
Key words： algebroid function; function element; shared value; uniqueness
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 . DOI: 10.1016/S0252-9602(12)60209-4
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