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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 $N(r,1/(f^2(f')^n-a))$, which states as following inequality, for positive integers $n\geq 2$, $$T(r,f)\leq \left(3+\frac{6}{n-1}\right)N\left(r,\frac{1}{af^2(f')^n-1}\right)+S(r,f).$$
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참고문헌 (13)
참고문헌 신청
A. Alotaibi / 2004 / On the zeros of aff(k) − 1 / Complex Var. Theory Appl 49(13):977~989
A. Alotaibi / 2004 / On the zeros of af(f(k))n − 1 for n ≥ 2 / Comput. Methods Funct. Theory 4(1):227~235
A. A. Goldberg / 2008 / Value distribution of meromorphic functions, vol. 236 / American Mathematical Society
W. K. Hayman / 1964 / Meromorphic Functions / Oxford University Press
X. J. Huang / 2005 / On the value distribution of f2f(k) / J. Aust. Math. Soc 78(1):17~26
A. Alotaibi / 2004 / On the zeros of af(f(k))n − 1 for n ≥ 2 / Comput. Methods Funct. Theory 4(1):227~235
A. A. Goldberg / 2008 / Value distribution of meromorphic functions, vol. 236 / American Mathematical Society
W. K. Hayman / 1964 / Meromorphic Functions / Oxford University Press
X. J. Huang / 2005 / On the value distribution of f2f(k) / J. Aust. Math. Soc 78(1):17~26
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