Abstract
In this paper, we focus on a conjecture concerning uniqueness problem of meromorphic functions sharing three distinct polynomials with their difference operators, which is mentioned in Chen and Yi (Result Math v. 63, pp. 557–565, 2013), and prove that it is true for meromorphic functions of finite order. Also, a result of Zhang and Liao, obtained for entire functions (Sci China Math v. 57, pp. 2143–2152, 2014), we generalize to the case of meromorphic functions.
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The author would like to thank a referee and an associate editor for valuable suggestions and comments.
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Russian Text © The Author(s), 2019, published in Izvestiya Natsional’noi Akademii Nauk Armenii, Matematika, 2019, No. 5, pp. 44–52.
The research was supported by NNSF of China Project No. 11601521, and the Fundamental Research Fund for Central Universities in China Project No. 15CX05061A, 15CX05063A and 15CX08011A
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Zhen, L. Meromorphic Functions Sharing Three Polynomials With Their Difference Operators. J. Contemp. Mathemat. Anal. 54, 296–301 (2019). https://doi.org/10.3103/S1068362319050066
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DOI: https://doi.org/10.3103/S1068362319050066