On certain non-linear differential polynomial sharing a non-zero polynomial

Abstract

With the notion of weighted sharing of values we investigate the possible relation between two meromorphic functions when \(f^{n}P(f)f^{(k)}\) and \(g^{n}P(g)g^{(k)}\) share a non-zero polynomial. The results obtained in this paper improve, generalize and rectify a recent one of Cao and Zhang (J Inequal Appl 1:100, 2012).