The uniqueness of an entire function sharing a small entire function with its derivatives |
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| Authors: | Jun Wang Xiao-Min Li |
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| Institution: | a School of Mathematics Science, Fudan University, Shanghai 200433, People's Republic of China
b Department of Mathematics, Ocean University of China, Qingdao, Shandong 266071, People's Republic of China |
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| Abstract: | In this paper, we prove a theorem on the growth of a solution of a linear differential equation. From this we obtain some uniqueness theorems concerning that a nonconstant entire function and its derivatives sharing 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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| Keywords: | Entire functions Order of growth Shared values Uniqueness theorems |
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