摘要：In this paper, we consider the differential equation f ″ + h ( z ) e P ( z ) f ′ + Q ( z ) f = 0 , where h ( z ) and Q ( z ) ≢ 0 are meromorphic functions, P ( z ) is a non-constant polynomial. Assume that Q ( z ) has an infinite deficient value and finitely many Borel directions. We give some conditions on P ( z ) which guarantee that every solution f ≢ 0 of the equation has infinite order. MSC:34AD20, 30D35.
关键词：complex differential equation ; meromorphic function ; Borel direction ; deficient value ; hyper-order
