On the uniqueness of an entire function sharing a small entire function with some linear differential polynomial |
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| Authors: | Xiao-Min Li Hong-Xun Yi |
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| Institution: | 1.Department of Mathematics,Ocean University of China,Qingdao, Shandong,P.R. China;2.Department of Mathematics,Shandong University,Jinan, Shandong,P.R. China |
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| Abstract: | We prove a theorem on the growth of nonconstant solutions of a linear differential equation. From this we obtain some uniqueness
theorems concerning that a nonconstant entire function and its linear differential polynomial share a small entire function.
The results in this paper improve many known results. Some examples are provided to show that the results in this paper are
the best possible. |
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