Bull. Korean Math. Soc. 2013; 50(4): 1209-1219
Printed July 1, 2013
https://doi.org/10.4134/BKMS.2013.50.4.1209
Copyright © The Korean Mathematical Society.
Feng Lu and Jianming Qi
China University of Petroleum, Shanghai dianji university
In the paper, we have two purposes. Firstly, we estimate the hyper-order of an entire function which shares two functions with it's first derivative, and two examples are given to show the conclusion is sharp. Secondly, we generalize the Br\"{u}ck conjecture with the idea of sharing functions.
Keywords: complex differential equation, normal family, Nevanlinna theory
MSC numbers: 30D35, 30D45
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