On three-term recurrence and Christoffel-Darboux identity for orthogonal rational functions on the real line
文献类型：期刊论文
| 作者 | Sun, Ye-Peng1; Chang, Xiang-Ke2; He, Yi3 |
| 刊名 | INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS
 |
| 出版日期 | 2016-04-02 |
| 卷号 | 27期号:4页码:268-280 |
| 关键词 | 33C45 11C20 three-term recurrence Christoffel-Darboux relation Orthogonal rational functions |
| 英文摘要 | First, we give an algebraic proof to the Christoffel-Darboux identity of formal orthogonal rational functions on the real line by exposing some underlying algebraic properties. This proof does not involve the three-term recurrence relationship. Besides, it is shown that if a family of rational functions satisfies the Christoffel-Darboux relation, then it also admits a three-term recurrence relationship. Thus, the equivalence between both relations is revealed. |
| WOS标题词 | Science & Technology ; Physical Sciences |
| 类目[WOS] | Mathematics, Applied ; Mathematics |
| 研究领域[WOS] | Mathematics |
| 关键词[WOS] | POLYNOMIALS ; ALGORITHM |
| 收录类别 | SCI |
| 语种 | 英语 |
| WOS记录号 | WOS:000371347600002 |
| 公开日期 | 2016-05-03 |
| 源URL | [http://ir.wipm.ac.cn/handle/112942/9222]  |
| 专题 | 武汉物理与数学研究所_数学物理与应用研究部 |
| 作者单位 | 1.Shandong Univ Finance & Econ, Sch Math & Quantitat Econ, Jinan, Peoples R China 2.Chinese Acad Sci, AMSS, Inst Computat Math & Sci Engn Comp, LSEC, Beijing, Peoples R China 3.Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan, Peoples R China |
| 推荐引用方式 GB/T 7714 | Sun, Ye-Peng,Chang, Xiang-Ke,He, Yi. On three-term recurrence and Christoffel-Darboux identity for orthogonal rational functions on the real line[J]. INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS,2016,27(4):268-280. |
| APA | Sun, Ye-Peng,Chang, Xiang-Ke,&He, Yi.(2016).On three-term recurrence and Christoffel-Darboux identity for orthogonal rational functions on the real line.INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS,27(4),268-280. |
| MLA | Sun, Ye-Peng,et al."On three-term recurrence and Christoffel-Darboux identity for orthogonal rational functions on the real line".INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS 27.4(2016):268-280. |
入库方式： OAI收割
来源：武汉物理与数学研究所
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。