Communications of the
Korean Mathematical Society CKMS

The paper deals with the problem of meromorphic functions sharing a small function with its differential polynomials and improves the results of Liu and Gu \cite{7}, Lahiri and Sarkar \cite{12aa}, Zhang \cite{11} and Zhang and Yang \cite{12a} and also answer some open questions posed by Kit-Wing Yu \cite{20}. In this paper we provide some examples to show that the conditions in our results are the best possible.

Keywords: uniqueness, meromorphic function, sharing small function

MSC numbers: Primary 30D35