On certain non-linear differential monomial sharing non-zero polynomial

Abstract

UDC 517.5 With the idea of normal family we study the uniqueness of meromorphic functions and when and  share two values, where   and is a polynomial. The obtained result significantly improves and generalizes the result in [A. Banerjee, S. Majumder, <em>On certain non-linear differential polynomial sharing a non-zero polynomial</em>, Bol. Soc. Mat. Mex. (2016),https://doi.org/10.1007/s40590-016-0156-0].