Abstract
This paper concerns value cross-sharing of meromorphic functions, which is a variation to consider the uniqueness theory of meromorphic functions as usual. For example, we consider the uniqueness problems related to \(f(z)^n\) and \(g'(z)\) share common values together with \(g(z)^n\) and \(f'(z)\) share common values, or \(f(z)^n\) and \(g(z+c)^{m}\) share common values together with \(g(z)^n\) and \(f(z+c)^{m}\) share common values, where f(z), g(z) are meromorphic functions and n, m are positive integers.
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Acknowledgements
The authors are very grateful to the reviewers for useful comments and suggestions for the present paper. Question 4.2 and its above paragraph are mostly suggested by one of the reviewers who also raised many open questions that are beneficial for our further investigations. We will consider these questions in the forthcoming papers.
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This work was partially supported by the NSFC (No. 12061042) and the Natural Science Foundation of Jiangxi (No. 20202BAB201003).
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Wang, F., Liu, K. Value Cross-Sharing of Meromorphic Functions. Comput. Methods Funct. Theory 23, 807–828 (2023). https://doi.org/10.1007/s40315-023-00481-9
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DOI: https://doi.org/10.1007/s40315-023-00481-9