Bi-uniqueness range sets for powers of meromorphic functions

Abstract

In the paper, we study the uniqueness of powers of meromorphic functions for sharing two finite sets with finite weights and find Bi-unique range sets for meromorphic functions of power at least d. Examples are given in support of our result. We are inspired by the results due to A. Banerjee [Nihonkai Math. J. Vol.24 (2013), 121-134] and a recent result due to S. Mallick and D. Sarkar [Mat. Stud. 50(2018), 143-157.]