Entire functions sharing an entire function of smaller order with their difference operators |
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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, 266100, P. R. China 2. Department of Physics and Mathematics, University of Eastern Finland, P. O. Box 111, 80101, Joensuu, Finland 3. Department of Mathematics, Shandong University, Jinan, 250100, P. R. China
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Abstract: | We study a uniqueness question of entire functions sharing an entire function of smaller order with their difference operators, and deal with a question posed by Liu and Yang. The results in this paper extend the corresponding results obtained by Liu-Yang and by Liu-Laine respectively. Examples are provided to show that the results in this paper, in a sense, are the best possible. |
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Keywords: | Entire functions shared values difference operators uniqueness theorems |
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