Bulletin of the Korean Mathematical Society (대한수학회보)

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A NOTE ON THE BRÜCK CONJECTURE

  • Lu, Feng (Department of Mathematics China University of Petroleum)
  • Received : 2010.01.21
  • Published : 2011.09.30
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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.

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References

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