Combinatorial proofs of addition formulas
文献类型：期刊论文
| 作者 | Chang, Xiang-Ke1 ; Hu, Xing-Biao1; Lei, Hongchuan2; Yeh, Yeong-Nan3
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| 刊名 | ELECTRONIC JOURNAL OF COMBINATORICS
 |
| 出版日期 | 2016-01-11 |
| 卷号 | 23期号:1页码:13 |
| 关键词 | lattice paths Catalan numbers Motzkin numbers Large Schroder numbers Hankel determinant |
| ISSN号 | 1077-8926 |
| 英文摘要 | 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. |
| 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 |
| 语种 | 英语 |
| WOS记录号 | WOS:000369985900008 |
| 出版者 | ELECTRONIC JOURNAL OF COMBINATORICS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/22073]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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