Uniqueness of meromorphic functions concerning their difference operators and derivatives

Abstract

Abstract Let f and g be two nonconstant meromorphic functions. Shared value problems related to f and g are investigated in this paper. We give sufficient conditions in terms of weighted value sharing which imply that f is a linear transformation or inversion transformation of g. We also investigate the uniqueness problem of meromorphic functions with their difference operators and derivatives sharing some values.

Keywords

• Meromorphic function
• Difference operator
• Shared values
• Periodic function
• Finite order