ABHIJIT BANERJEE AND SANJAY MALLICK

Abstract

The purpose of the paper is to obtain some su¢ cient conditions forwhich two differential polynomials sharing a small function satisfies conclusionsof Brück [3] conjecture. The result present in the paper will unify, improve andgeneralize several existing results. We have exhibited a number of examples toshow that some conditions used in the paper are essential. In the concludingpart of the paper we propose two open problems for further investigations

Keywords

• Meromorphic function, derivative, small function, uniqueness,30D35

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23. Current address : Department of Mathematics, University of Kalyani, West Bengal 741235, India.