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

## DOI:

https://doi.org/10.26713/cma.v14i5.2390## Keywords:

Nevanlinna theory, Fixed point, Difference polynomials, Meromorphic function## Abstract

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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*Communications in Mathematics and Applications*,

*14*(5), 1815–1824. https://doi.org/10.26713/cma.v14i5.2390

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