Uniqueness of meromorphic function under weighted sharing of two or three sets exclusively in C

In this paper, we have resorted to two and three weighted shared sets, chosen exclusively from C, to investigate the uniqueness of meromorphic function. Most importantly, we have introduced three new uniqueness polynomials which paved the way to generate the range sets and have strived to find minimal cardinalities of the range sets as well. Finally, we have presented some relevant observations for a non term initial gap strong uniqueness polynomial and placed an open question for further research.