SOME RESULTS ON THE UNIQUENESS OF CERTAIN TYPE OF NONLINEAR DIFFERENTIAL POLYNOMIALS WITH REGARD TO MULTIPLICITY SHARING A SMALL FUNCTION.

In this article, we consider the uniqueness problem of the non linear differential polynomial fn(z)(f(z) - 1)mP[f], where f(z) is a transcendental meromorphic function. With the concept of weakly weighted sharing and relaxed weighted sharing we obtain some results which extend and improve some results due to the present first author [Korean J. Math., 28(2020), No. 4, 871-888]. [ABSTRACT FROM AUTHOR]