Differential polynomials and value-sharing

Abstract. In this paper, we give some theorems on uniqueness problem of differential polynomials of meromorphic functions. Let \(a, b\) be non-zero constants and let \(n, m, l, k\) be positive integers satisfying \(n\geq 3l(k+1)+3m+9\) and \(m\geq l(k+1)+1\). If \(f^n+af^m(f^{(k)})^l \;\text{and}\; g^n+ag^m(g^{(k)})^l\) share the value \(b\) CM, then \(f\) and \(g\) are closely related. We also consider the case sharing the value IM.