On Fixed Point of Difference Polynomials with Meromorphic Function of Finite Order

In this paper, we investigate \(f(z)\) to be a transcendental meromorphic function of finite order \(σ(f)\) and \(c\) be complex constants. The authors establish an fixed points about the difference polynomials \(Φ(z)=Δ f(z)-a(f(z))ⁿ\), where \(Δ f(z)=f(z+c)-f(z)\). These results extend the related results obtained by Wu and Wu (Fixed points of differences of meromorphic functions, Advances in Difference Equations 2019 (2019), Article number: 453).