Kai Liu
Articles written in Proceedings – Mathematical Sciences
Volume 121 Issue 3 August 2011 pp 301-310
Uniqueness and Zeros of 𝑞-Shift Difference Polynomials
Kai Liu Xin-Ling Liu Ting-Bin Cao
In this paper, we consider the zero distributions of 𝑞-shift difference polynomials of meromorphic functions with zero order, and obtain two theorems that extend the classical Hayman results on the zeros of differential polynomials to 𝑞-shift difference polynomials. We also investigate the uniqueness problem of 𝑞-shift difference polynomials that share a common value.
Volume 124 Issue 4 November 2014 pp 533-549
Zeros and uniqueness of 𝑄-difference polynomials of meromorphic functions with zero order
In this paper, we investigate the value distribution of 𝑞-difference polynomials of meromorphic function of finite logarithmic order, and study the zero distribution of difference-differential polynomials $[f^{n}(z)f (qz + c)]^{(k)}$ and $[f^{n}(z)(f (qz + c) - f (z))]^{(k)}$, where $f(z)$ is a transcendental function of zero order. The uniqueness problem of difference-differential polynomials is also considered.
Volume 132, 2022
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