文章基本信息

标题：On the iterated exponent of convergence of zeros of f ( j ) ( z ) − φ ( z )
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作者：Jin Tu ; Zu-Xing Xuan ; Hong-Yan Xu 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2013
卷号：2013
期号：1
页码：71
DOI：10.1186/1687-1847-2013-71
语种：English
出版社：Hindawi Publishing Corporation
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