Abstract
This paper is devoted to the uniqueness of q-difference-differential polynomials of different types. Using the idea of common zeros and common poles (Chin. Ann. Math., Ser. A 35:675–684, 2014), we improve the conditions of the former theorems and obtain some new results on the uniqueness of q-difference-differential polynomials of meromorphic functions.
Highlights
1 Introduction and main results In this paper, a meromorphic function is assumed meromorphic in the whole complex plane
We say that two meromorphic functions f and g share a point a CM (IM) if f (z) – a and g(z) – a have the same zeros counting multiplicities
The logarithmic density of the set E is defined by lim sup dt
Summary
Introduction and main resultsIn this paper, a meromorphic function is assumed meromorphic in the whole complex plane. We say that two meromorphic functions f and g share a point a CM (IM) if f (z) – a and g(z) – a have the same zeros counting multiplicities (ignoring multiplicities). Theorem C ([11, Theorem 5.1]) Let f (z) and g(z) be transcendental zero-order meromorphic functions.
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