Abstract
Abstract In this paper, we investigate the relationships between fixed points of meromorphic functions, and their higher order differences and shifts, and generalize the case of fixed points into the more general case for first order difference and shift. Concretely, some estimates on the order and the exponents of convergence of special points of meromorphic functions and their differences and shifts are obtained.
Highlights
Introduction and main resultsIn this paper, a meromorphic function f (z) means being meromorphic in the whole complex plane C, and the notations are standard ones in the Nevanlinna theory
In this paper, we investigate the relationships between xed points of meromorphic functions, and their higher order di erences and shifts, and generalize the case of xed points into the more general case for rst order di erence and shift
In the past sixty years, numerous mathematicians have studied xed points, which is an important topic in the theory of meromorphic functions
Summary
Introduction and main resultsIn this paper, a meromorphic function f (z) means being meromorphic in the whole complex plane C, and the notations are standard ones in the Nevanlinna theory (see e.g. [1,2,3,4]). Some estimates on the order and the exponents of convergence of special points of meromorphic functions and their di erences and shifts are obtained. Chen and shon [9,10,11] have got some results on the zeros and xed points of transcendental entire functions and meromorphic functions.
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