A note on the value distribution of differential polynomials

Subhas S. Bhoosnurmath; Bikash Chakraborty; Hari M. Srivastava

doi:10.4134/CKMS.c180378

Communications of the
Korean Mathematical Society CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

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Commun. Korean Math. Soc. 2019; 34(4): 1145-1155

Online first article August 27, 2019 Printed October 31, 2019

https://doi.org/10.4134/CKMS.c180378

A note on the value distribution of differential polynomials

Subhas S. Bhoosnurmath, Bikash Chakraborty, Hari M. Srivastava

Dharwad 580 003; Kolkata 700118; Taichung 40402

Abstract

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Abstract

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

Keywords: transcendental meromorphic function, differential polynomials

MSC numbers: Primary 30D30, 30D20, 30D35