Uniqueness results for differential polynomials weighted sharing a value or a set of roots of unity

We study the uniqueness results of meromorphic functions f and g if differential polynomials of the type (P( f ) n ) (k) and (P(g) n ) (k) weighted share a set of roots of unity or a value, where P is a polynomial of one variable.The results of the paper generalize some earlier results due to Khoai and An [