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Commun. Korean Math. Soc. 2016; 31(2): 311-327
Printed April 30, 2016
https://doi.org/10.4134/CKMS.2016.31.2.311
Copyright © The Korean Mathematical Society.
On the generalizations of Br\"{u}ck conjecture
Abhijit Banerjee and Bikash Chakraborty
University of Kalyani, University of Kalyani
We obtain similar types of conclusions as that of Br\"{u}ck \cite{3} for two differential polynomials which in turn radically improve and generalize several existing results. Moreover a number of examples have been exhibited to justify the necessity or sharpness of some conditions used in the paper. At last we pose an open problem for future research.
Keywords: meromorphic function, derivative, small function
MSC numbers: 30D35
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