Combinatorial proofs of addition formulas

	Combinatorial proofs of addition formulas
	Chang, Xiang-Ke1 ; Hu, Xing-Biao1 ; Lei, Hongchuan 2; Yeh, Yeong-Nan 3
	2016-01-11
发表期刊	ELECTRONIC JOURNAL OF COMBINATORICS
ISSN	1077-8926
卷号	23 期号:1 页码:13
摘要	In this paper we give a combinatorial proof of an addition formula for weighted partial Motzkin paths. The addition formula allows us to determine the LDU decomposition of a Hankel matrix of the polynomial sequence defined by weighted partial Motzkin paths. As a direct consequence, we get the determinant of the Hankel matrix of certain combinatorial sequences. In addition, we obtain an addition formula for weighted large Schroder paths.
关键词	lattice paths Catalan numbers Motzkin numbers Large Schroder numbers Hankel determinant
语种	英语
资助项目	Natural Science Foundation of Shandong Province of China[ZR2014AM001] ; NSC[104-2115-M-001-010-MY3]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000369985900008
出版者	ELECTRONIC JOURNAL OF COMBINATORICS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/22074
专题	计算数学与科学工程计算研究所
通讯作者	Lei, Hongchuan
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, ICMSEC, Beijing, Peoples R China 2.Zhejiang Sci Tech Univ, Coll Sci, Hangzhou, Zhejiang, Peoples R China 3.Acad Sinica, Inst Math, Taipei, Taiwan
推荐引用方式 GB/T 7714	Chang, Xiang-Ke,Hu, Xing-Biao,Lei, Hongchuan,et al. Combinatorial proofs of addition formulas[J]. ELECTRONIC JOURNAL OF COMBINATORICS,2016,23(1):13.
APA	Chang, Xiang-Ke,Hu, Xing-Biao,Lei, Hongchuan,&Yeh, Yeong-Nan.(2016).Combinatorial proofs of addition formulas.ELECTRONIC JOURNAL OF COMBINATORICS,23(1),13.
MLA	Chang, Xiang-Ke,et al."Combinatorial proofs of addition formulas".ELECTRONIC JOURNAL OF COMBINATORICS 23.1(2016):13.