Orthogonal functions related to Lax pairs in Lie algebras

被引：1
|
作者：
Groenevelt, Wolter [1 ]
Koelink, Erik [2 ]
机构：
[1] Delft Univ Technol, Delft Inst Appl Math, POB 5031, NL-2600 GA Delft, Netherlands
[2] IMAPP Radboud Univ, POB 9010, NL-6500 GL Nijmegen, Netherlands
来源：
RAMANUJAN JOURNAL | 2023年 / 61卷 / 02期
关键词：
Special functions; Orthogonal polynomials; Toda lattice; POLYNOMIALS;
D O I：
10.1007/s11139-021-00424-9
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study a Lax pair in a 2-parameter Lie algebra in various representations. The overlap coefficients of the eigenfunctions of L and the standard basis are given in terms of orthogonal polynomials and orthogonal functions. Eigenfunctions for the operator L for a Lax pair for sl(d + 1, C) is studied in certain representations.
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页码：445 / 474
页数：30
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