Entire functions sharing a small entire function‎ ‎with their difference operators

نویسندگان

  • H. Y. Kang College of Science‎, ‎China University of Mining and Technology‎, ‎Xuzhou 221116‎, ‎PR‎ ‎China
  • J. Zhang College of Science‎, ‎China University of Mining and Technology‎, ‎Xuzhou 221116‎, ‎PR‎ ‎China
  • L. W. Liao Department of Mathematics‎, ‎Nanjing University‎, ‎Nanjing 210093‎, ‎PR‎ ‎China
چکیده مقاله:

In this paper, we mainly investigate the uniqueness of the entire function sharing a small entire function with its high difference operators. We obtain one results, which can give a negative answer to an uniqueness question relate to the Bruck conjecture dealt by Liu and Yang. Meanwhile, we also establish a difference analogue of the Bruck conjecture for entire functions of order less than 2, which improves some results obtained by Liu and Yang.

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entire functions sharing a small entire function‎ ‎with their difference operators

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عنوان ژورنال

دوره 41  شماره 5

صفحات  1121- 1129

تاریخ انتشار 2015-10-01

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