Some properties of meromorphic solutions for q-difference equations

Abstract

The main purpose of this article is to investigate some properties on the meromorphic solutions of some types of q-difference equations, which can be seen the q-difference analogues of Paineve equations. We obtain estimates of the exponent of convergence of poles of $\Delta_qf(z):=f(qz)-f(z)$, which extends some earlier results by Chen et al.

Keywords

• Meromorphic function
• q-difference equation
• zero order