二元Bannai-Ito多项式
Bivariate Bannai-Ito polynomials
摘要：
本文给出了Bannai-Ito多项式的一个二元推广。它们通过Gasper和Rahman引入的二元$q$ -Racah和Askey-Wilson正交多项式的$q\to-1$极限得到。得到了它们的正交关系。这些新的多项式也被证明是多光谱的。两个Dunkl移位算子被二元Bannai-Ito多项式对角化，并给出了3项和9项递推关系.
英文摘要：
A two-variable extension of the Bannai-Ito polynomials is presented. They are obtained via $q\to-1$ limits of the bivariate $q$-Racah and Askey-Wilson orthogonal polynomials introduced by Gasper and Rahman. Their orthogonality relation is obtained. These new polynomials are also shown to be multispectral. Two Dunkl shift operators are seen to be diagonalized by the bivariate Bannai-Ito polynomials and 3- and 9-term recurrence relations are provided.
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