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ON LAURENT BIORTHOGONAL POLYNOMIALS AND PAINLEVE-TYPE EQUATIONS

文献类型：期刊论文

作者Yue, Xiao-Lu1,2; Chang, Xiang-Ke1,2; Hu, Xing-Biao1,2; Liu, Ya-Jie1,2
刊名PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
出版日期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
DOI10.1090/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
WOS记录号WOS:000808523500001
出版者AMER MATHEMATICAL SOC
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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