Abstract
In this paper, we study the value distribution of a meromorphic function concerning its derivative and q-shift difference , where is of finite logarithmic order. We also investigate the uniqueness of differential-q-shift-difference polynomials with more general forms of entire functions of order zero.
Highlights
Introduction and main resultsThe fundamental theorems and the standard notations of the Nevanlinna value distribution theory of meromorphic functions will be used
One main aim of this paper is to investigate the zeros of differential-q-shift-difference polynomials about f (z), f (z), and f, where f (z) is of finite positive logarithmic order
Since f (z) is a transcendental entire function of order zero, by Lemmas
Summary
Introduction and main resultsThe fundamental theorems and the standard notations of the Nevanlinna value distribution theory of meromorphic functions will be used (see e.g. Hayman [ ], Yang [ ] and Yi and Yang [ ]). We see by [ ] that for a meromorphic function f (z) of finite positive logarithmic order ρlog(f Xu and Zhang [ ] investigated the zeros of q-shift difference polynomials of meromorphic functions of finite logarithmic order and obtained the following result in .
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