Entire functions sharing a small entire function‎ ‎with their difference operators

Document Type : Research Paper


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

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


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.


Main Subjects