Abstract
Every transcendental meromorphic function $f$ in the plane which has only three critical values satisfies
\[ \liminf_{r\to\infty}\frac{T(r,f)}{\log^2r}\geq \frac{\sqrt{3}}{2\pi}, \]
and this estimate is best possible.
Citation
A. Eremenko. "Transcendental meromorphic functions with three singular values." Illinois J. Math. 48 (2) 701 - 709, Summer 2004. https://doi.org/10.1215/ijm/1258138408
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