DOI QR코드

DOI QR Code

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

Jiang, Yan

  • 투고 : 2014.05.21
  • 발행 : 2016.03.31

초록

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)$$.

키워드

transcendental meromorphic function;deficiency

참고문헌

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