Sufficient conditions for periodicity of meromorphic function and its shift operator sharing one or more sets with finite weight

Abhijit Banerjee, Goutam Haldar

In this paper, we investigate the uniqueness property of meromorphic functions together with its shift counterpart sharing one or two sets. With the help of the range set introduced in [2], we have improved the result of Bhusnurmath-Kabbur [3] and obtain the unique range set corresponding to shift operators. Our paper also improves the result of Frank-Reinder's \cite{9} in some sense.