Existence of zero-order meromorphic solutions of certain q-difference equations

Abstract In this paper, we consider the q-difference equation (f(qz)+f(z))(f(z)+f(z/q))=R(z,f), $$ \bigl(f(qz)+f(z)\bigr) \bigl(f(z)+f(z/q)\bigr)=R(z,f), $$ where R(z,f) $R(z,f)$ is rational in f and meromorphic in z. It shows that if the above equation assumes an admissible zero-order meromorphic s...

Full description

Bibliographic Details
Main Authors: Yunfei Du, Zongsheng Gao, Jilong Zhang, Ming Zhao
Format: Article
Language:English
Published: SpringerOpen 2018-08-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13660-018-1790-z