Acta mathematica scientia, Series B >
DIFFERENTIAL POLYNOMIALS SHARING ONE VALUE
Received date: 2013-05-15
Revised date: 2013-10-10
Online published: 2014-11-20
Supported by
This research was supported by the NNSF (11201014, 11171013, 11126036, 11371225) and the YWF-14-SXXY-008, YWF-ZY-302854 of Beihang University. This research was also supported by the youth talent program of Beijing (29201443).
In this paper, we investigate uniqueness problems of differential polynomials of meromorphic functions. Let a, b be non-zero constants and let n, k be positive integers satisfying n ≥3k+12. If fn+af(k) and gn+ag(k) share b CM and the b-points of fn+af(k) are not the zeros of f and g, then f and g are either equal or closely related.
Key words： meromorphic function; differential polynomial; share value
ZHANG Ji-Long , YANG Lian-Zhong . DIFFERENTIAL POLYNOMIALS SHARING ONE VALUE[J]. Acta mathematica scientia, Series B, 2014 , 34(6) : 1865 -1874 . DOI: 10.1016/S0252-9602(14)60130-2
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