Meromorphic functions whose certain differential polynomial share a polynomial

Abstract

In this paper, we use the idea of normal family to investigate the uniquenessproblems of meromorphic functions when certain non-linear dierential polynomial sharinga nonzero polynomial with certain degree. We obtain some results which will not only rectifythe recent results of P. Sahoo and H. Karmakar [9] but also improve and generalize somerecent results of L. Liu [7], H. Y. Xu, T. B. Cao and S. Liu [12] and P. Sahoo and H.Karmakar [9] in a large extent.