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ON LAURENT BIORTHOGONAL POLYNOMIALS AND PAINLEVE-TYPE EQUATIONS
Yue, Xiao-Lu1,2; Chang, Xiang-Ke1,2; Hu, Xing-Biao1,2; Liu, Ya-Jie1,2
2022-06-03
发表期刊PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN0002-9939
页码13
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.
关键词  Laurent biorthogonal polynomials three-term recurrence relation structure relation compatibility condition Painlev? equations
DOI10.1090/proc/16037
收录类别SCI
语种英语
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
WOS类目Mathematics, Applied ; Mathematics
WOS记录号WOS:000808523500001
出版者AMER MATHEMATICAL SOC
引用统计
文献类型期刊论文
条目标识符http://ir.amss.ac.cn/handle/2S8OKBNM/61506
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
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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.
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