# ON THE GENERALIZATIONS OF BRÜCK CONJECTURE

Banerjee, Abhijit;Chakraborty, Bikash

• Published : 2016.04.30
• 16 6

#### Abstract

We obtain similar types of conclusions as that of $Br{\ddot{u}}ck$ [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

meromorphic function;derivative;small function

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#### Cited by

1. Some uniqueness results related to the Brück conjecture vol.38, pp.2, 2018, https://doi.org/10.1515/anly-2017-0060

#### Acknowledgement

Supported by : Department of Science and Technology, Govt.of India