摘要：In this paper, we investigate the growth of meromorphic solutions of the equations f ( k ) + A k − 1 ( z ) f ( k − 1 ) + ⋯ + A 1 ( z ) f ′ + A 0 ( z ) f = 0 , f ( k ) + A k − 1 ( z ) f ( k − 1 ) + ⋯ + A 1 ( z ) f ′ + A 0 ( z ) f = F ( z ) , where A 0 ( z ) (≢0), A 1 ( z ) , … , A k − 1 ( z ) and F ( z ) (≢0) are entire functions of finite order. We find some conditions on the coefficients to guarantee that every nontrivial meromorphic solution of such equations is of infinite order. MSC:30D35, 34M10.
关键词：entire function ; differential equation ; order
