Abstract
In this paper we investigate some functional equations of the form \(P(f)=Q(g),\) where P, Q are Yi’s polynomials, and f, g are meromorphic functions. Then we apply the obtained results to study the uniqueness problem for meromorphic functions sharing two subsets, and to give an analogue of Ritt’s decomposition theorem for a class of polynomials of Fermat-Waring type in meromorphic functions.
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This research is funded by the Vietnam National Foundation for Science and Technology Development (NAFOSTED) under Grant No. 101.01-2012.19.
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Khoai, H.H., An, V.H. & Hoa, P.N. On functional equations for meromorphic functions and applications. Arch. Math. 109, 539–549 (2017). https://doi.org/10.1007/s00013-017-1093-5
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DOI: https://doi.org/10.1007/s00013-017-1093-5