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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
ISSN号1065-2469
DOI10.1080/10652469.2015.1118097
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.
资助项目Nature Science Foundation of Shandong Province of China[ZR2014AM001] ; National Natural Science Foundation of China[11201469] ; National Natural Science Foundation of China[11571358] ; China Postdoctoral Science Foundation[2013T60761]
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000371347600002
出版者TAYLOR & FRANCIS LTD
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/22206]  
专题计算数学与科学工程计算研究所
通讯作者Chang, Xiang-Ke
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.

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来源：数学与系统科学研究院

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