An Inequality for Nonlinear Mermorphic Functions with Few Simple Zeros

Qing De ZHANG

Acta Mathematica Sinica, Chinese Series ›› 2004, Vol. 47 ›› Issue (2) : 285-290.

PDF(328 KB)
PDF(328 KB)
Acta Mathematica Sinica, Chinese Series ›› 2004, Vol. 47 ›› Issue (2) : 285-290. DOI: 10.12386/A2004sxxb0037
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An Inequality for Nonlinear Mermorphic Functions with Few Simple Zeros

  • Qing De ZHANG
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Abstract

Let f(z) be a nonlinear meromorphic function in the complex plane satisfying Ni(r,1/f) = S(r, f), and c be any nonzero complex number. Then we have T(r, f) < 11{N(r, f) +N(r, 1/f'-c} + S(r, f), where N1(r, 1/f) denotes the counting function of the simple zeros of the function f(z).

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Qing De ZHANG. An Inequality for Nonlinear Mermorphic Functions with Few Simple Zeros. Acta Mathematica Sinica, Chinese Series, 2004, 47(2): 285-290 https://doi.org/10.12386/A2004sxxb0037
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