Some results about a special nonlinear difference equation and uniqueness of difference polynomial

Abstract

Abstract In this paper, we continue to study a special nonlinear difference equation solutions of finite order entire function. We also continue to investigate the value distribution and uniqueness of difference polynomials of meromorphic functions. Our results which improve the results of Yang and Laine [Proc. Jpn. Acad. Ser. A Math. Sci. 83:50-55 (2007)]; Qi et al. [Comput. Math. Appl. 60:1739-1746 (2010) ]. Mathematics Subject Classification (2000): 30D35, 39B32, 34M05.

Keywords

• Meromorphic functions
• Nevanlinna Theory
• difference equation
• difference polynomial