• Title of article

    Entire functions sharing a small entire function‎ ‎with their difference operators

  • Author/Authors

    Zhang، Jie نويسنده College of Science‎, ‎China University of Mining and Technology , , Kang، Hai Yan نويسنده College of Science‎, ‎China University of Mining and Technology , , Liao، Liang Wen نويسنده Department of Mathematics‎, ‎Nanjing University‎ ,

  • Issue Information
    دوماهنامه با شماره پیاپی 0 سال 2015
  • Pages
    9
  • From page
    1121
  • To page
    1129
  • Abstract
    In this paper‎, ‎we mainly investigate the uniqueness of the entire function sharing a‎ ‎small entire function with its high difference operators‎. ‎ < W > e obtain‎ ‎ < a > result‎, ‎which can give a negative answer to an uniqueness question‎ ‎relate to the Br$\ddot{u}$ck conjecture dealt by Liu and Yang‎. ‎Meanwhile‎, ‎we also establish a difference analogue of the‎ ‎Br$\rm\ddot{u}$ck conjecture for entire functions of order less than 2‎, ‎which improves some results obtained by Liu and Yang.
  • Journal title
    Bulletin of the Iranian Mathematical Society
  • Serial Year
    2015
  • Journal title
    Bulletin of the Iranian Mathematical Society
  • Record number

    2389247