KMS Of Academy of mathematics and systems sciences, CAS
Combinatorial proofs of addition formulas | |
Chang, Xiang-Ke1![]() ![]() | |
2016-01-11 | |
Source Publication | ELECTRONIC JOURNAL OF COMBINATORICS
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ISSN | 1077-8926 |
Volume | 23Issue:1Pages:13 |
Abstract | 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. |
Keyword | lattice paths Catalan numbers Motzkin numbers Large Schroder numbers Hankel determinant |
Language | 英语 |
Funding Project | Natural Science Foundation of Shandong Province of China[ZR2014AM001] ; NSC[104-2115-M-001-010-MY3] |
WOS Research Area | Mathematics |
WOS Subject | Mathematics, Applied ; Mathematics |
WOS ID | WOS:000369985900008 |
Publisher | ELECTRONIC JOURNAL OF COMBINATORICS |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/22074 |
Collection | 计算数学与科学工程计算研究所 |
Affiliation | 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 |
Recommended Citation 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. |
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