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.[1];Xuan Z.-X.[2];Xu H.-Y.[3]

通讯作者：Xuan, Z.-X.[2]

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, No. 97 Bei Si Huan Dong Road, Chaoyang District, Beijing, 100101, 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

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)

基金：The authors thank the referee for his/her valuable suggestions to improve the present article. This project is supported by the National Natural Science Foundation of China (11171119, 61202313, 11261024, 11271045), and by the Natural Science Foundation of Jiangxi Province in China (20122BAB211005, 20114BAB211003, 20122BAB201016) and the Foundation of Education Bureau of Jiang-Xi Province in China (GJJ12206). Zuxing Xuan is supported in part by NNSFC (No. 11226089, 60972145), Beijing Natural Science Foundation (No. 1132013) and the Project of Construction of Innovative Teams and Teacher Career Development for Universities and Colleges Under Beijing Municipality (IDHT20130513).

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.