On Fixed Point of Difference Polynomials with Meromorphic Function of Finite Order
DOI:
https://doi.org/10.26713/cma.v14i5.2390Keywords:
Nevanlinna theory, Fixed point, Difference polynomials, Meromorphic functionAbstract
In this paper, we investigate \(f(z)\) to be a transcendental meromorphic function of finite order \(\sigma(f)\) and \(c\in\mathbb{C}\) be complex constants. The authors establish an fixed points about the difference polynomials \(\Phi(z)=\Delta f(z)-a(f(z))^{n}\), where \(\Delta f(z)=f(z+c)-f(z)\). 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).
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