• Kai Liu

Articles written in Proceedings – Mathematical Sciences

• Uniqueness and Zeros of 𝑞-Shift Difference Polynomials

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.

• 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.

• # Proceedings – Mathematical Sciences

Volume 132, 2022
All articles
Continuous Article Publishing mode

• # Editorial Note on Continuous Article Publication

Posted on July 25, 2019