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Entire functions sharing an entire function of smaller order with their difference operators
Authors:Xiao Min Li  Hong Xun Yi
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
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.
Keywords:Entire functions  shared values  difference operators  uniqueness theorems
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