Work

Matrix‐Valued Cauchy Bi‐Orthogonal Polynomials and a Novel Noncommutative Integrable Lattice

Year: 2025

Type: article

Abstract: ABSTRACT Matrix‐valued Cauchy bi‐orthogonal polynomials are proposed in this paper, together with its quasideterminant expression. It is shown that the coefficients in the four‐term recurrence relation for matrix‐valued Cauchy bi‐orthogonal polynomials satisfy a novel noncommutative integrable system, whose Lax pair is given by fractional differential operators with non‐abelian variables.

Source: Studies in Applied Mathematics

DOI: 10.1111/sapm.70040

Authors: Shi‐Hao Li, Ying Shi, Guo‐Fu Yu, Jun‐Xiao Zhao

Institutions: Sichuan University, Zhejiang University of Science and Technology, Shanghai Jiao Tong University, University of Glasgow

Language: English

Topic: Mathematical functions and polynomials

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: National Natural Science Foundation of China

Awards: G2782613876, G3892514374, G4519941207, G5681978234, G7623257527