Eulerian numbers: A spline perspective
文献类型：期刊论文
| 作者 | Wang, Ren-Hong1; Xu, Yan1; Xu, Zhi-Qiang2
|
| 刊名 | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
 |
| 出版日期 | 2010-10-15 |
| 卷号 | 370期号:2页码:486-490 |
| 关键词 | B-splines Eulerian numbers Refined Eulerian numbers Descent polynomials Log-concavity |
| ISSN号 | 0022-247X |
| DOI | 10.1016/j.jmaa.2010.05.017 |
| 英文摘要 | In this paper, the spline interpretations of Eulerian numbers and refined Eulerian numbers are presented. Many classical results about Eulerian numbers can follow from the properties of B-splines directly, and some new results about the refined Eulerian numbers and descent polynomials are also derived. Specifically, the explicit and recurrence formulas for the refined Eulerian numbers and descent polynomials are obtained. This paper also provides a new approach to study Eulerian numbers. (C) 2010 Elsevier Inc. All rights reserved. |
| 资助项目 | National Natural Science Foundation of China[60373093] ; National Natural Science Foundation of China[60533060] ; National Natural Science Foundation of China[10801024] ; National Natural Science Foundation of China[U0935004] ; National Natural Science Foundation of China[10871196] ; National Natural Science Foundation of China[10726068] ; China Scholarship Council |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000278646200015 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/9966]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Xu, Yan |
| 作者单位 | 1.Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China 2.Chinese Acad Sci, LSEC, Inst Computat Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Wang, Ren-Hong,Xu, Yan,Xu, Zhi-Qiang. Eulerian numbers: A spline perspective[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2010,370(2):486-490. |
| APA | Wang, Ren-Hong,Xu, Yan,&Xu, Zhi-Qiang.(2010).Eulerian numbers: A spline perspective.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,370(2),486-490. |
| MLA | Wang, Ren-Hong,et al."Eulerian numbers: A spline perspective".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 370.2(2010):486-490. |
入库方式： OAI收割
来源：数学与系统科学研究院
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