Abstract
In this paper, we investigate the number of sharing values of a meromorphic function and its derivative in one angular domain instead of the whole complex plane and obtain the following results: Let $f$ be a meromorphic function of lower order $>2$ in the complex plane. Then there exists a direction H: $\arg z=\theta \sb 0$ ($0\leq \theta _0\lt 2\pi $) such that for any positive number $\varepsilon $, $f$ and $f'$ share at most two distinct finite values without counting multiplicities in the angular region $ \{z: |\arg z-\theta _0|\lt \varepsilon \}$. This improve a result of Weichuan and Mori.
Citation
Biao Pan. Weichuan Lin. "Angular value distribution concerning shared values." Rocky Mountain J. Math. 45 (6) 1919 - 1935, 2015. https://doi.org/10.1216/RMJ-2015-45-6-1919
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