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Title: Generalizations on the results of Cao and Zhang (English)
Author: Majumder, Sujoy
Author: Mandal, Rajib
Language: English
Journal: Mathematica Bohemica
ISSN: 0862-7959 (print)
ISSN: 2464-7136 (online)
Volume: 147
Issue: 1
Year: 2022
Pages: 65-94
Summary lang: English
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Category: math
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Summary: 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. (English)
Keyword: meromorphic function
Keyword: uniqueness
Keyword: weighted sharing
Keyword: differential polynomial
MSC: 30D35
idZBL: Zbl 07547242
idMR: MR4387469
DOI: 10.21136/MB.2021.0072-19
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Date available: 2022-04-17T18:09:37Z
Last updated: 2022-09-06
Stable URL: http://hdl.handle.net/10338.dmlcz/149592
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