On hyper-order of solutions of higher order linear differential equations with meromorphic coefficients.

In this paper, we investigate the growth of meromorphic solutions of the differential equations and where $A_{0}(z)\not\equiv0, A_{1}(z), \ldots, A_{k-1}(z)$ and $F(z)\not \equiv0$ are meromorphic functions. A precise estimation of the hyper-order of meromorphic solutions of the above equations is given provided that there exists one dominant coefficient, which improves and extends previous results given by Belaïdi, Chen, etc. [ABSTRACT FROM AUTHOR]