GROWTH OF MEROMORPHIC SOLUTIONS OF HIGHER ORDER LINEAR DIFFERENTIAL EQUATIONS

In this article, we investigate the growth of meromorphic solutions of the differential equations f((k)) + A(k-1)f((k-1)) + center dot center dot center dot + A(0)f = 0, f((k)) + A(k-1)f((k-1)) + center dot center dot center dot + A(0)f = F, where A(j), F (j = 0,..., k - 1) are meromorphic functions. When there exists one dominant coefficient with lower order less than 1/2, we obtain some estimations of the hyper order and the hyper convergence exponent of zeros of meromorphic solutions of the above equations.