Acta mathematica scientia,Series B ›› 2014, Vol. 34 ›› Issue (6): 1854-1864.doi: 10.1016/S0252-9602(14)60129-6

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TWO MEROMORPHIC FUNCTIONS SHARE SOME PAIRS OF SMALL FUNCTIONS WITH TRUNCATED MULTIPLICITIES

 CAO Hong-Zhe, CAO Ting-Bin   

  1. Department of Mathematics, Nanchang University, Nanchang 330031, China
  • Received:2013-05-14 Revised:2013-11-04 Online:2014-11-20 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).

Abstract:

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.

Key words: meromorphic function, small function, truncated multiplicities, quasi-M¨obius transformation

CLC Number: 

  • 32H20
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