Meromorphic functions whose certain differential polynomial share a polynomial
Keywords:Uniqueness, Meromorphic function, Non-linear dierential polynomials, normal families.
In this paper, we use the idea of normal family to investigate the uniqueness
problems of meromorphic functions when certain non-linear dierential polynomial sharing
a nonzero polynomial with certain degree. We obtain some results which will not only rectify
the recent results of P. Sahoo and H. Karmakar  but also improve and generalize some
recent results of L. Liu , H. Y. Xu, T. B. Cao and S. Liu  and P. Sahoo and H.
Karmakar  in a large extent.
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