中文摘要：

利用亚纯函数的Nevanlinna值分布理论，研究了一类二阶复微分方程f″＋A（z）．f＇＋B（z）f=0解的增长性，其中A（z）是方程W″＇＋P（z）w=0的非平凡解，P（z）是几次多项式．证明了B（z）在适当条件的假设下，方程的每一个非平凡解为无穷级的结果，推广了以前一些文献的结论．

英文摘要：

Using Nevanlinna theory of the value distribution of meromorphic functions, the problem of the growth of solutions of f ″＋ A（z）f＇ ＋ B（z）f = 0 is investigated, where A（z） is a nontrivial solution of the equation w＂ ＋ P（z）w = O, P（z） is a polynomial of degree n. And under the assumption of certain proper conditions of B（z）, we prove a result which every nontrivial solutions f（z） of the equation is of infinite order and improve some results in previous references.