Abstract
Let f be a transcendental meromorphic function of finite order and c be a nonzero complex number. Define Delta _{c}f=f(z+c)-f(z). The authors investigate the existence on the fixed points of Delta _{c}f. The results obtained in this paper may be viewed as discrete analogues on the existing theorem on the fixed points of f'. The existing theorem on the fixed points of Delta _{c}f generalizes the relevant results obtained by (Chen in Ann. Pol. Math. 109(2):153–163, 2013; Zhang and Chen in Acta Math. Sin. New Ser. 32(10):1189–1202, 2016; Cui and Yang in Acta Math. Sci. 33B(3):773–780, 2013) et al.
Highlights
Let f (z) be a function meromorphic in the complex plane C
And assume that the reader is familiar with these notations
There is a considerable number of results on the fixed points of meromorphic functions, we refer the reader to Chuang and Yang [7]
Summary
Let f (z) be a function meromorphic in the complex plane C. And assume that the reader is familiar with these notations
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