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Entire functions sharing an entire function of smaller order with their difference operators

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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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Authors and Affiliations

  1. Department of Mathematics, Ocean University of China, Qingdao, 266100, P. R. China

    Xiao Min Li

  2. Department of Physics and Mathematics, University of Eastern Finland, P. O. Box 111, 80101, Joensuu, Finland

    Xiao Min Li

  3. Department of Mathematics, Shandong University, Jinan, 250100, P. R. China

    Hong Xun Yi

Authors
  1. Xiao Min Li
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  2. Hong Xun Yi
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Correspondence to Xiao Min Li.

Additional information

Supported by National Natural Science Foundation of China (Grant No. 11171184) and the Natural Science Foundation of Shandong Province, China (Grant No. Z2008A01)

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Li, X.M., Yi, H.X. Entire functions sharing an entire function of smaller order with their difference operators. Acta. Math. Sin.-English Ser. 30, 481–498 (2014). https://doi.org/10.1007/s10114-014-2042-x

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  • DOI: https://doi.org/10.1007/s10114-014-2042-x

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