Uniqueness and Zeros of 𝑞-Shift Difference Polynomials

Proceedings Mathematical Sciences

Ting-Bin Cao¹  Xin-Ling Liu¹  Kai Liu² 

[1] $$;Department of Mathematics, Nanchang University, Nanchang, Jiangxi 00, People’s Republic of China$$

关键词: Meromorphic function;    𝑞-shift;    difference polynomial;    uniqueness;    zero order.;   

DOI  :  

学科分类：数学（综合）

来源: Indian Academy of Sciences

【 摘 要 】

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.

【 授权许可】

Unknown