Archiv der Mathematik

, Volume 97, Issue 5, pp 475–483

Entire functions sharing one or two finite values CM with their shifts or difference operators

Article

DOI: 10.1007/s00013-011-0324-4

Cite this article as:
Li, S. & Gao, Z. Arch. Math. (2011) 97: 475. doi:10.1007/s00013-011-0324-4

Abstract

We prove some results on the uniqueness of entire functions sharing one or two finite values CM with their shifts or difference operators. Our results include shifted and difference analogues of the Brück conjecture.

Mathematics Subject Classification (2010)

Primary 30D35Secondary 39A05

Keywords

Brück conjectureShared valueDerivativeShiftDifference operator

Copyright information

© Springer Basel AG 2011

Authors and Affiliations

  1. 1.LMIB and School of Mathematics and Systems ScienceBeihang UniversityBeijingPeople’s Republic of China
  2. 2.College of ScienceGuangdong Ocean UniversityZhanjiangPeople’s Republic of China