On three-term recurrence and Christoffel-Darboux identity for orthogonal rational functions on the real line

doi:10.1080/10652469.2015.1118097

	On three-term recurrence and Christoffel-Darboux identity for orthogonal rational functions on the real line
	Sun, Ye-Peng 1; Chang, Xiang-Ke2 ; He, Yi 3
	2016-04-02
发表期刊	INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS
ISSN	1065-2469
卷号	27 期号:4 页码:268-280
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.
关键词	33C45 11C20 three-term recurrence Christoffel-Darboux relation Orthogonal rational functions
DOI	10.1080/10652469.2015.1118097
语种	英语
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
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000371347600002
出版者	TAYLOR & FRANCIS LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/22207
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.