On the Generalizations of Br\"{u}ck Conjecture
  We obtain similar types of conclusions as that of Br\"{u}ck [1] 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. 
Abhijit Banerjee and Bikash Chakraborty
math.CV