Uniqueness of a Polynomial and a Differential Monomial Sharing a Small Function

In this paper taking a question in [1] into background we investigate the uniqueness of a non-constant polynomial with the differential monomial generated by a non-constant mermorphic function f. Our result will also extend a result of Banerjee-Majumder[2] given earlier. An open question is also posed, in the paper, for future investigation.