English

On the Generalizations of Br\"{u}ck Conjecture

Complex Variables 2022-09-15 v2

Abstract

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.

Keywords

Cite

@article{arxiv.1608.02543,
  title  = {On the Generalizations of Br\"{u}ck Conjecture},
  author = {Abhijit Banerjee and Bikash Chakraborty},
  journal= {arXiv preprint arXiv:1608.02543},
  year   = {2022}
}

Comments

13 pages. arXiv admin note: text overlap with arXiv:1608.02228

R2 v1 2026-06-22T15:15:10.573Z