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Some inequalities of differential polynomials. II. (English) Zbl 1207.30050
Summary: We consider the value distribution of the differential polynomials \(f^2 f^{(k)} - 1\), where \(k\) is a positive integer, and obtain some estimates only by the reduced counting function.
Our result answers a question in [J. Xu, H. Yi and Z. Zhang, Math. Inequal. Appl. 12, No. 1, 99–113 (2009; Zbl 1169.30314)] completely.

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