A note on the value distribution of differential polynomials
Commun. Korean Math. Soc. 2019 Vol. 34, No. 4, 1145-1155
Published online October 31, 2019
Subhas S. Bhoosnurmath, Bikash Chakraborty, Hari M. Srivastava
Dharwad 580 003; Kolkata 700118; Taichung 40402
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
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