摘要：In this paper, the authors investigate the iterated exponent of convergence of zeros of f ( j ) ( z ) − φ ( z ) ( j = 0 , 1 , 2 , … ), where f is a solution of some second-order linear differential equation, φ ( z ) ≢ 0 is an entire function satisfying σ p + 1 ( φ ) < σ p + 1 ( f ) or i ( φ ) < i ( f ) ( p ∈ N ). We obtain some results which improve and generalize some previous results in (Chen in Acta Math. Sci. Ser. A 20(3):425-432, 2000; Chen and Shon in Chin. Ann. Math. Ser. A 27(4):431-442, 2006; Tu et al. in Electron. J. Qual. Theory Differ. Equ. 23:1-17, 2011) and provide us with a method to investigate the iterated exponent of convergence of zeros of f ( j ) ( z ) − φ ( z ) ( j = 0 , 1 , 2 , … ). MSC:34A20, 30D35.
关键词：linear differential equations ; iterated order ; iterated type ; iterated exponent of convergence of zero-sequence
