Notes on Admissible Solutions of a Class of Dierential Equations

Aims/ objectives: Let Q1; Q2 and Q3 be three non-vanishing meromorphic functions, and be an entire function. In this paper, we consider the dierential equation of the form: 18246.pngand derive some necessary conditions ( in terms of Qj (j = 1; 2; 3) and ) for the existence of an admissible meromorphic solution f of the above equation. As a consequence of the studies, particularly we are able to conrm partially the validity of Brück Conjecture raised in studying value sharing of an entire function and its rst derivative.