English

A note on the value distribution of Differential Polynomials

Complex Variables 2019-03-04 v2

Abstract

Let ff be a transcendental meromorphic function, defined in the complex plane C\mathbb{C}. In this paper, we give a quantitative estimations of the characteristic function T(r,f)T(r,f) in terms of the counting function of a homogeneous differential polynomial generated by ff. Our result improves and generalizes some recent results.

Keywords

Cite

@article{arxiv.1806.02759,
  title  = {A note on the value distribution of Differential Polynomials},
  author = {Subhas S. Bhoosnurmath and Bikash Chakraborty and H. M. Srivastava},
  journal= {arXiv preprint arXiv:1806.02759},
  year   = {2019}
}

Comments

11 pages, (Accepted for publication in Communications of the Korean Mathematical Society )

R2 v1 2026-06-23T02:22:40.353Z