Christoffel transformations for (partial-)skew-orthogonal polynomials and applications
Mathematical Physics
2020-08-04 v1 math.MP
Exactly Solvable and Integrable Systems
Abstract
In this article, we consider the Christoffel transformations for skew-orthogonal polynomials and partial-skew-orthogonal polynomials. We demonstrate that the Christoffel transformations can act as spectral problems for discrete integrable hierarchies, and therefore we derive certain integrable hierarchies from these transformations. Some reductional cases are also considered.
Cite
@article{arxiv.2008.00273,
title = {Christoffel transformations for (partial-)skew-orthogonal polynomials and applications},
author = {Shi-Hao Li and Guo-Fu Yu},
journal= {arXiv preprint arXiv:2008.00273},
year = {2020}
}
Comments
21 pages; comments are welcome