Entire functions sharing some values with their difference operators |
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| Authors: | Jie Zhang LiangWen Liao |
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| Affiliation: | 1. College of Science, China University of Mining and Technology, Xuzhou, 221116, China
2. Department of Mathematics, Nanjing University, Nanjing, 210093, China
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| Abstract: | We investigate a uniqueness topic of entire functions with finite order sharing some values with their difference operators and obtain one result that if Δf (? 0) and entire function f share a, b CM (counting multiplicities), then Δf ≡ f. This result partially confirms a conjecture due to Chen and Yi (2013). |
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| Keywords: | uniqueness entire function difference equation small function |
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