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Uniqueness of Meromorphic Functions and Weighted Sharing Concerning Differential Polynomial

SHI Zhong-chun,LI Ji-longCollege of Mathematics and Physics,Chongqing University,Chongqing 400030,China  
Using the idea of weighted sharing,deal with the uniqueness problems on meromorphic functions concerning differential polynomials.Proved the following result: Let n,m(≥2) be two positive integers,and satisfy n and m+1 are prime to each other;let f,g be two nonconstant meromorphic functions,if fn(fm-1)f′ and gn(gm-1)g′ share(1,k) and one of the following conditions is satisfied: (1°) k≥2,nm+10;(2°) k=1,n32m+12,then f≡g.
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