Some uniqueness results related to nonlinear differential polynomials sharing 1-points (Q1952317)

In the paper the authors prove two uniqueness theorems when \([f^{n}P(f)]^{(k)}\) and \([g^{n}P(g)]^{(k)}\) share the value \(1\) with truncated multiplicity, where \(f\) and \(g\) are two entire or meromorphic functions and \(P(z)\) is a polynomial in \(z\). Their results improve and include some known results.