Abstract
In this paper, we study the zeros of difference polynomials of meromorphic functions of the forms
Highlights
Introduction and main resultsThis purpose of this paper is to study the problem of the zeros and uniqueness of complex difference polynomials of meromorphic functions
We study the zeros of difference polynomials of meromorphic functions of the forms d (k)
The topic of a difference equation and a difference product in the complex plane C has attracted many mathematicians, a number of papers have focused on value distribution and uniqueness of differences and differences operator analogues of Nevanlinna theory
Summary
This purpose of this paper is to study the problem of the zeros and uniqueness of complex difference polynomials of meromorphic functions. For a transcendental meromorphic function f of finite order, a nonzero complex constant c and α(z) ∈ S(f ), Liu et al [ ], Chen et al [ ], Luo and Lin [ ] studied the zeros distributions of difference polynomials of meromorphic functions and obtained: If n ≥ , f (z)nf (z + c) – α(z) has infinitely many zeros [ , Theorem . In , Liu et al [ ] studied the zeros distribution of difference-differential polynomials, which are the derivatives of difference products of entire functions, and obtained the result as follows.
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