Value distribution of meromorphic functions concerning rational functions and differences

Advances in Difference Equations

article

Fang, Mingliang¹  Yang, Degui²  Liu, Dan² 

[1] Department of Mathematics, Hangzhou Dianzi University;Institute of Applied Mathematics, South China Agricultural University

关键词: Meromorphic functions;    Value distribution;    Rational functions;    Differences;   

DOI  :  10.1186/s13662-020-03150-6

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

Let c be a nonzero constant and n a positive integer, let f be a transcendental meromorphic function of finite order, and let R be a nonconstant rational function. Under some conditions, we study the relationships between the exponent of convergence of zero points of$f-R$ , its shift$f(z+nc)$ and the differences$\Delta _{c}^{n} f$ .

【 授权许可】

CC BY