Some Inequalities of differential polynomials II

Junfeng Xu; Hongxun Yi; Zhanliang Zhang

Some Inequalities of differential polynomials II

Complex Variables 2014-08-29 v1

Authors: Junfeng Xu , Hongxun Yi , Zhanliang Zhang

Abstract

In this paper, we consider the value distribution of the differential polynomials $f^2f^{(k)}-1$ where $k$ is a positive integer, and obtain some estimates only by the reduced counting function. Our result answers a question in (Some inequalities of differential polynomials, Mathematical Inequalities and Applications, \textbf{12}(2009), no.1, 99--113) completely.

Keywords

value distribution differential polynomials reduced counting function nevanlinna theory inequalities

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@article{arxiv.1408.6600,
  title  = {Some Inequalities of differential polynomials II},
  author = {Junfeng Xu and Hongxun Yi and Zhanliang Zhang},
  journal= {arXiv preprint arXiv:1408.6600},
  year   = {2014}
}

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7pages

Some Inequalities of differential polynomials II

Abstract

Keywords

Cite

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