Differential polynomials sharing one value

In this paper, we investigate uniqueness problems of differential polynomials of meromorphic functions. Let a, b be non-zero constants and let n, k be positive integers satisfying n ≥ 3k+12. If fn + af(k) and gn + ag(k) share b CM and the b-points of fn + af(k) are not the zeros of f and g, then f and g are either equal or closely related.