中文摘要：

研究2阶微分方程f″＋A1（z）f’＋A0（z）f=0解的增长性.假设A1（z）=h1eQ1（z）＋h2eQ2（z）,其中Qj（j=1,2）为n（n≥1）次多项式,hj（j=1,2）为级小于n的整函数,A0为满足下级μ（A0）≠n的超越整函数或A0为满足Denjoy猜想极值情况的整函数,得到上述方程的每个非零解都具有无穷级,同时对解的超级进行了估计.

英文摘要：

The growth of solutions of second order linear differential equations f ″ ＋ A1（z） f ’ ＋ A0（z） f = 0 is investigated.Let A1（z） = h1eQ1（z）＋ h2eQ2（z）,where Qj（z）（j = 1,2） are polynomials with degree n（n≥1）,hj（j = 1,2） are entire functions with order less than n,and let A0 be a transcendental entire function with lower order μ（A0） ≠n or A0 be a function extremal for Denjoy’s conjecture,then every nontrivial solution of such equations is of infinite order.Some estimates on hyper-order of its solutions are also obtained.