文献类型：期刊文献

英文题名：On the iterated exponent of convergence of zeros of f (j)(z) -?(z)

作者：Tu J.; Xuan Z.-X.; Xu H.-Y.

机构：[1]College of Mathematics and Information Science, Jiangxi Normal University, Nanchang, 330022, China;[2]Beijing Key Laboratory of Information Service Engineering, Department of General Education, Beijing Union University, Chaoyang District, Beijing, 100101, No. 97 Bei Si Huan Dong Road, China;[3]Department of Informatics and Engineering, Jingdezhen Ceramic Institute, Jingdezhen, Jiangxi 333403, China

第一机构：College of Mathematics and Information Science, Jiangxi Normal University, Nanchang, 330022, China

通讯机构：[2]Beijing Key Laboratory of Information Service Engineering, Department of General Education, Beijing Union University, Chaoyang District, Beijing, 100101, No. 97 Bei Si Huan Dong Road, China|[11417103]北京联合大学北京市信息服务工程重点实验室;[11417]北京联合大学;[11417126]北京联合大学应用文理学院基础教学部;[114172]应用文理学院;

年份：2013

卷号：2013

外文期刊名：Advances in Difference Equations

收录：Scopus(收录号：2-s2.0-84893957472)

语种：英文

外文关键词：Iterated exponent of convergence of zero-sequence; Iterated order; Iterated type; Linear differential equations

摘要：In this paper, the authors investigate the iterated exponent of convergence of zeros of f (j)(z) - ?(z) (j = 0, 1, 2, ?), where f is a solution of some second-order linear differential equation, ?(z) ? 0 is an entire function satisfying σp+1(ell;) < σp+1(f) or i(ell;) < 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) - ?(z) (j = 0, 1, 2, ?). ? 2013 Tu et al.