Properties of meromorphic solutions of $q$-difference equations

Abstract

In this article, we utilize Nevanlinna value distribution theory to study the solvability and the growth of meromorphic function f(z) that satisfies some q-difference equations, which can be seen the q-difference analogues of Painleve I and II equations. This article extends earlier results by Chen et al [2,3].

Keywords

• Meromorphic functions
• q-difference equation
• growth
• zero order