Eulerian numbers: A spline perspective

doi:10.1016/j.jmaa.2010.05.017

	Eulerian numbers: A spline perspective
	Wang, Ren-Hong 1; Xu, Yan 1; Xu, Zhi-Qiang2
	2010-10-15
发表期刊	JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN	0022-247X
卷号	370 期号:2 页码:486-490
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.
关键词	B-splines Eulerian numbers Refined Eulerian numbers Descent polynomials Log-concavity
DOI	10.1016/j.jmaa.2010.05.017
语种	英语
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
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000278646200015
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/9967
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.