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Filomat 2019 Volume 33, Issue 18, Pages: 5767-5776
https://doi.org/10.2298/FIL1918767L
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Results on L-functions of certain differential polynomials sharing one finite value

Li Xiao-Min (Department of Mathematics, Ocean University of China, Qingdao, Shandong, P.R. China)
Liu Fang (Department of Mathematics, Ocean University of China, Qingdao, Shandong, P.R. China)
Yi Hong-Xun (Department of Mathematics, Shandong University, Jinan, Shandong, P.R. China)

We study a uniqueness question of meromorphic functions whose certain nonlinear differential polynomials share a finite nonzero value. The results in this paper extend the corresponding results from Steuding [14, p.152], Li[9] and Fang [1]. The studied question is concerning a question posed by Fang in 2009.

Keywords: Nevanlinna’s Theory, L-functions, Differential polynomials, Shared Values, Uniqueness theorems