Mathematica Bohemica, Vol. 147, No. 1, pp. 65-94, 2022
Generalizations on the results of Cao and Zhang
Sujoy Majumder, Rajib Mandal
Received May 10, 2019. Published online April 14, 2021.
Abstract: We establish some uniqueness results for meromorphic functions when two nonlinear differential polynomials $P(f)\prod_{i=1}^k(f^{(i)})^{n_i}$ and $P(g)\prod_{i=1}^k(g^{(i)})^{n_i}$ share a nonzero polynomial with certain degree and our results improve and generalize some recent results in Y.-H. Cao, X.-B. Zhang (2012). Also we exhibit two examples to show that the conditions used in the results are sharp.
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Affiliations: Sujoy Majumder, Rajib Mandal, Department of Mathematics, Raiganj University, University Road, Raiganj, West Bengal-733134, India, e-mail: sujoy.katwa@gmail.com, rajib547mandal@gmail.com
