【摘要】 利用亏值研究了下列高阶线性微分方程解的增长性f^（k）+A_k-1（z）f^（k-1）+…+A₁（z）f′+A₀（z）f=0,其中A_j（z）（j=0,1,…,k-1）是整函数,并且获得了一些比先前更广泛的结果.更进一步,如果方程的解f（（?）0）为无穷级时,获得了f的超级的下界估计.更多还原

【Abstract】 In this paper,we shall involve the deficient value in investigating the growth of solutions of the linear differential equation f^（k）+A_k-1（z）f^（k-1）+…+A₁（z）f’+A₀（z）f=0, where A_j（z）（j=0.1,…,k-1） are entire functions,and we obtain some results which improves some earlier results.More specifically,we estimate the lower bounded of hyper-order of solutions of the equation if every solution f（（?） 0） of the equation is of infinite order.更多还原