Zeros and uniqueness of 𝑄-difference polynomials of meromorphic functions with zero order

Proceedings Mathematical Sciences

Ting-Bin Cao²  Kai Liu¹  Na Xu¹ 

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

关键词: Meromorphic functions;    Nevanlinna theory;    logarithmic order;    uniqueness problem;    difference-differential polynomial.;   

DOI  :  

学科分类：数学（综合）

来源: Indian Academy of Sciences

【 摘 要 】

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.

【 授权许可】

Unknown