Geodesic
Generalizations on the results of Cao and Zhang
Mathematica Bohemica, Tome 147 (2022) no. 1, pp. 65-94.

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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.
DOI : 10.21136/MB.2021.0072-19
Classification : 30D35
Keywords: meromorphic function; uniqueness; weighted sharing; differential polynomial 
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Majumder, Sujoy; Mandal, Rajib. Generalizations on the results of Cao and Zhang. Mathematica Bohemica, Tome 147 (2022) no. 1, pp. 65-94. doi : 10.21136/MB.2021.0072-19. http://geodesic.mathdoc.fr/articles/10.21136/MB.2021.0072-19/

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