Cauchy-Jacobi orthogonal polynomials and the discrete CKP equation
Mathematical Physics
2025-04-29 v1 math.MP
Exactly Solvable and Integrable Systems
Abstract
This paper intends to construct discrete spectral transformations for Cauchy-Jacobi orthogonal polynomials, and find its corresponding discrete integrable systems. It turns out that the normalization factor of Cauchy-Jacobi orthogonal polynomials acts as the -function of the discrete CKP equation, which has applications in Yang-Baxter equation, integrable geometry, cluster algebra, and so on.
Keywords
Cite
@article{arxiv.2504.18891,
title = {Cauchy-Jacobi orthogonal polynomials and the discrete CKP equation},
author = {Shi-Hao Li and Satoshi Tsujimoto and Ryoto Watanabe and Guo-Fu Yu},
journal= {arXiv preprint arXiv:2504.18891},
year = {2025}
}
Comments
12 pages. Comments are welcome