The uniqueness of meromorphic function shared values with meromorphic solutions of a class of q-difference equations

Abstract

We first investigate the meromorphic solutions of a class of homogeneous second-order q-difference equations and the uniqueness problem for a meromorphic function with three shared values; then we discuss the uniqueness problem for the meromorphic solutions of a class of nonhomogeneous q-difference equations and a meromorphic function with four shared values.

Keywords

• difference equations
• meromorphic function
• shared values
• uniqueness