Acta mathematica scientia, Series B >
TWO MEROMORPHIC FUNCTIONS SHARE SOME PAIRS OF SMALL FUNCTIONS WITH TRUNCATED MULTIPLICITIES
Received date: 2013-05-14
Revised date: 2013-11-04
Online published: 2014-11-20
Supported by
This research was partly supported by the NSFC (11401291, 11101201), the NSF of Jiangxi (2012 2BAB211001) and NSF of ED of Jiangxi (GJJ13077).
Using the techniques proposed in [3], we prove that two nonconstant meromor-phic functions f and g on C must be linked by a quasi-M¨obius transformation if they share some pairs of small functions with more precise truncated multiplicities, which improve and extend the results of Duc Quang Si.
CAO Hong-Zhe . TWO MEROMORPHIC FUNCTIONS SHARE SOME PAIRS OF SMALL FUNCTIONS WITH TRUNCATED MULTIPLICITIES[J]. Acta mathematica scientia, Series B, 2014 , 34(6) : 1854 -1864 . DOI: 10.1016/S0252-9602(14)60129-6
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