Entire solutions of certain type of difference equations

Journal of inequalities and applications

Nana Liu¹ 

关键词: transcendental entire solution;    difference equation;    difference-differential polynomial;    Nevanlinna theory;   

DOI  :  10.1186/1029-242X-2014-63

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we shall study the conditions regarding the existence of transcendental entire solutions of certain type of difference equations. Our results are either supplements to some results obtained recently, or are relating to the conjecture raised in Yang and Laine (Proc. Jpn. Acad., Ser. A, Math. Sci. 86:10-14, 2010). Finally, two relevant conjectures are posed for further studies. MSC:39B32, 34M05, 30D35.

【 授权许可】

CC BY