Abstract
In this work, we focus on a conjecture on the uniqueness problem of meromorphic functions sharing three distinct values with their difference operators, which is mentioned in Chen and Yi (Results Math 63, 557–565, 2013). We prove that the conjecture is true for meromorphic functions of finite order. Furthermore, a result of Zhang and Liao (Sci China Math 57, 2143–2152, 2014) is generalized from entire functions to meromorphic functions.
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Communicated by R. Korhonen.
The research was supported by NNSF of China No. 11601521 and the Fundamental Research Fund for Central Universities in China No. 15CX05061A, 15CX05063A and 15CX08011A.
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Lü, F., Lü, W. Meromorphic Functions Sharing Three Values with their Difference Operators. Comput. Methods Funct. Theory 17, 395–403 (2017). https://doi.org/10.1007/s40315-016-0188-5
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DOI: https://doi.org/10.1007/s40315-016-0188-5