例外Bannai-Ito多项式
Exceptional Bannai-Ito polynomials
摘要：
利用广义达布变换构造了一类非平凡的1步例外Bannai-Ito多项式，它满足离散正交性.在此推广中，达布变换的Bannai-Ito算子通过交织关系直接得到。此外，种子解决方案，其中包括一个规范因子和多项式的一部分，在这些1步例外Bannai-Ito多项式的建设中起着重要的作用。我们证明了有8类规范因子。我们还提供了相应的多步例外Bannai-Ito算子的本征函数，它可以表示为一个3 × 3行列式。
英文摘要：
We construct a non-trivial type of 1-step exceptional Bannai-Ito polynomials which satisfy discrete orthogonality by using a generalized Darboux transformation. In this generalization, the Darboux transformed Bannai-Ito operator is directly obtained through an intertwining relation. Moreover, the seed solution, which consists of a gauge factor and a polynomial part, plays an important role in the construction of these 1-step exceptional Bannai-Ito polynomials. And we show that there are 8 classes of gauge factors. We also provide the eigenfunctions of the corresponding multiple-step exceptional Bannai-Ito operator which can be expressed as a 3 x 3 determinant.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
