Entire functions sharing a small entire function‎ ‎with their difference operators

Document Type : Research Paper

Authors

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

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

Abstract

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.

Keywords

Main Subjects


Volume 41, Issue 5 - Serial Number 5
October 2015
Pages 1121-1129
  • Receive Date: 13 May 2013
  • Revise Date: 10 July 2014
  • Accept Date: 11 July 2014
  • First Publish Date: 01 October 2015