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By considering a question proposed by F. Gross concerning unique range sets of entire functions in , we study the unicity of meromorphic functions in that share three distinct finite sets CM and obtain some results which reduce to .
This paper studies the unicity of meromorphic(resp. entire) functions of the form and obtains the following main result: Let and be two non-constant meromorphic (resp. entire) functions, and let be a non-zero finite value. Then, the condition that implies that either for some -th root of unity , or and for three non-zero constants , and with provided that (resp. ). It improves a result of C. C. Yang and X. H. Hua. Also, some other related problems are discussed.
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