Properties of meromorphic solutions of some certain difference equations

Kodai Mathematical Journal

Zong-Xuan Chen²  Chang-Wen Peng¹ 

[1] School of Mathematics and Computer Sciences GuiZhou Normal College;School of Mathematical Sciences South China Normal University

关键词: nonlinear difference equation;    transcendental meromorphic solution;    rational solution;    hyper-order;   

DOI  :  10.2996/kmj/1396008250

学科分类：数学（综合）

来源: Tokyo Institute of Technology, Department of Mathematics

【 摘 要 】

References(23)This paper considers some properties of meromorphic solutions of the nonlinear difference equation(f(z + 1) + f(z))(f(z) + f(z − 1)) = $\frac{P(z,f(z))}{Q(z,f(z))}$,where P(z, f(z)) and Q(z, f(z)) are polynomials in f having rational coefficients and no common roots.

【 授权许可】

Unknown