Some inequalities of differential polynomials. (English) Zbl 1169.30314

Xu, Junfeng; Yi, Hongxun; Zhang, Zhanliang

Math. Inequal. Appl. 12, No. 1, 99-113 (2009).

Summary: We consider the value distribution of the differential polynomials \(f^nf^{(k)}-1\), where \(n\) \((\geq 2)\), \(k\) are positive integers, and obtain some estimates only by the reduced counting function.

MSC:

30D35	Value distribution of meromorphic functions of one complex variable, Nevanlinna theory
26D10	Inequalities involving derivatives and differential and integral operators

Keywords:

value distribution; differential polynomial; reduced counting function