ON LAURENT BIORTHOGONAL POLYNOMIALS AND PAINLEVE-TYPE EQUATIONS

doi:10.1090/proc/16037

	ON LAURENT BIORTHOGONAL POLYNOMIALS AND PAINLEVE-TYPE EQUATIONS
	Yue, Xiao-Lu 1,2; Chang, Xiang-Ke 1,2; Hu, Xing-Biao 1,2; Liu, Ya-Jie 1,2
刊名	PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
	2022-06-03
页码	13
关键词	Laurent biorthogonal polynomials three-term recurrence relation structure relation compatibility condition Painlev? equations
ISSN号	0002-9939
DOI	10.1090/proc/16037
英文摘要	In this paper, we investigate Laurent biorthogonal polynomials with a weight function of three parameters, i.e. z alpha e-t1z- z , z is an element of (0, +infinity), (t1 > 0, t2 > 0, alpha is an element of R). First, the structure relation of the Laurent biorthogonal polynomials is found with the aid of biorthogonality. Then we derive an alternate discrete Painleve II by considering the compatibility condition of the three-term recurrence relation and the structure relation. In addition, we make use of the relativistic Toda chains and nonlinear difference system to obtain two continuous Painleve-type differential equations.
资助项目	National Natural Science Foundation of China[11931017] ; National Natural Science Foundation of China[11871336] ; National Natural Science Foundation of China[12071447] ; Youth Innovation Promotion Association CAS
WOS研究方向	Mathematics
语种	英语
出版者	AMER MATHEMATICAL SOC
WOS记录号	WOS:000808523500001
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/61505]
专题	中国科学院数学与系统科学研究院
通讯作者	Chang, Xiang-Ke
作者单位	1.Chinese Acad Sci, LSEC, ICMSEC, Acad Math & Syst Sci, POB 2719, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Yue, Xiao-Lu,Chang, Xiang-Ke,Hu, Xing-Biao,et al. ON LAURENT BIORTHOGONAL POLYNOMIALS AND PAINLEVE-TYPE EQUATIONS[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY,2022:13.
APA	Yue, Xiao-Lu,Chang, Xiang-Ke,Hu, Xing-Biao,&Liu, Ya-Jie.(2022).ON LAURENT BIORTHOGONAL POLYNOMIALS AND PAINLEVE-TYPE EQUATIONS.PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY,13.
MLA	Yue, Xiao-Lu,et al."ON LAURENT BIORTHOGONAL POLYNOMIALS AND PAINLEVE-TYPE EQUATIONS".PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY (2022):13.