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Nonlinear differential polynomials sharing a non-zero polynomial with finite weight

Abhijit BanerjeeMolla Basir AHAMED — 2016

Mathematica Bohemica

In the paper, dealing with a question of Lahiri (1999), we study the uniqueness of meromorphic functions in the case when two certain types of nonlinear differential polynomials, which are the derivatives of some typical linear expression, namely h n ( h - 1 ) m ( h = f , g ), share a non-zero polynomial with finite weight. The results obtained in the paper improve, extend, supplement and generalize some recent results due to Sahoo (2013), Li and Gao (2010). In particular, we have shown that under a suitable choice of...

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