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http://dx.doi.org/10.4134/BKMS.2016.53.2.365

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

Jiang, Yan (Graduate School of Information Sciences, Tohoku University)
Publication Information
Bulletin of the Korean Mathematical Society / v.53, no.2, 2016 , pp. 365-371 More about this Journal
Abstract
Let f be a transcendental meromorphic function in the complex plane $\mathbb{C}$, and a be a nonzero constant. We give a quantitative estimate of the characteristic function T(r, f) in terms of $N(r,1/(f^2(f^{\prime})^n-a))$, which states as following inequality, for positive integers $n{\geq}2$, $$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;
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