A NOTE ON THE VALUE DISTRIBUTION OF f2(f)n FOR n≥2

Title & Authors
A NOTE ON THE VALUE DISTRIBUTION OF f2(f)n FOR n≥2
Jiang, Yan;

Abstract
Let f be a transcendental meromorphic function in the complex plane $\small{\mathbb{C}}$, and a be a nonzero constant. We give a quantitative estimate of the characteristic function T(r, f) in terms of $\small{N(r,1/(f^2(f^{\prime})^n-a))}$, which states as following inequality, for positive integers $\small{n{\geq}2}$, $\small{T(r,f){\leq}$$3+{\frac{6}{n-1}}$$N$$r,{\frac{1}{af^2(f^{\prime})^n-1}}$$+S(r,f)}$.
Keywords
transcendental meromorphic function;deficiency;
Language
English
Cited by
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