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http://dx.doi.org/10.4134/BKMS.2011.48.5.951

A NOTE ON THE BRÜCK CONJECTURE  

Lu, Feng (Department of Mathematics China University of Petroleum)
Publication Information
Bulletin of the Korean Mathematical Society / v.48, no.5, 2011 , pp. 951-957 More about this Journal
Abstract
In 1996, Br$\ddot{u}$ck studied the relation between f and f' if an entire function f shares one value a CM with its first derivative f' and posed the famous Br$\ddot{u}$ck conjecture. In this work, we generalize the value a in the Br$\ddot{u}$ck conjecture to a small function ${\alpha}$. Meanwhile, we prove that the Br$\ddot{u}$ck conjecture holds for a class of meromorphic functions.
Keywords
entire functions; Nevanlinna theory; uniqueness; normal family;
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