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Entire functions sharing some values with their difference operators

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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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Authors and Affiliations

  1. College of Science, China University of Mining and Technology, Xuzhou, 221116, China

    Jie Zhang

  2. Department of Mathematics, Nanjing University, Nanjing, 210093, China

    LiangWen Liao

Authors
  1. Jie Zhang
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  2. LiangWen Liao
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Correspondence to LiangWen Liao.

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Zhang, J., Liao, L. Entire functions sharing some values with their difference operators. Sci. China Math. 57, 2143–2152 (2014). https://doi.org/10.1007/s11425-014-4848-5

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  • DOI: https://doi.org/10.1007/s11425-014-4848-5

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