论文标题

(部分 - )偏斜多项式和应用的基督教转换

Christoffel transformations for (partial-)skew-orthogonal polynomials and applications

论文作者

Li, Shi-Hao, Yu, Guo-Fu

论文摘要

在本文中,我们考虑了偏斜 - 正交多项式和部分偏斜的多项式多项式的基督教转换。我们证明,基督教转换可以充当离散整合层次结构的光谱问题,因此我们从这些转换中得出了某些可集成的层次结构。还考虑了一些还原病例。

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.

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