On the Zeros of the Differential Polynomial φ(z)f2(z)f′(z)2 − 1

Mathematics

Junfeng Xu¹  Shuichao Ye¹ 

[1] Department of Mathematics, Wuyi University, Jiangmen 529020, China;

关键词: meromorphic function;    differential polynomials;    value distribution;    small functions;   

DOI  :  10.3390/math7010087

来源: DOAJ

【 摘 要 】

In this study, the value distribution of the differential polynomial φf 2 f′ 2 − 1 is considered, where f is a transcendental meromorphic function, φ ( ≢ 0 ) is a small function of f by the reduced counting function. This result improves the existed theorems which obtained by Jiang (Bull Korean Math Soc 53: 365-371, 2016) and also give a quantitative inequality of φ ff ′− 1.

【 授权许可】

Unknown