论文标题
Para-Bannai-Ito多项式
Para-Bannai-Ito Polynomials
论文作者
论文摘要
在班奈伊特双晶体（均匀Quadri-lattice）上的新双光谱多项式正交是通过对未截断的班奈伊特和互补的班奈 - ito多项式的非常规截断获得的。提供了所得para-bannai-Ito多项式的完整表征，包括三个项复发关系，dunkl-差异方程，超几形序列中的显式表达和正交性关系。它们也被推导为$ q \至-1 $限制的$ q $ -para-racah多项式。还建立了与双$ -1 $ -1 $ hahn多项式的连接。
New bispectral polynomials orthogonal on a Bannai-Ito bi-lattice (uniform quadri-lattice) are obtained from an unconventional truncation of the untruncated Bannai-Ito and complementary Bannai-Ito polynomials. A complete characterization of the resulting para-Bannai-Ito polynomials is provided, including a three term recurrence relation, a Dunkl-difference equation, an explicit expression in terms of hypergeometric series and an orthogonality relation. They are also derived as a $q\to -1$ limit of the $q$-para-Racah polynomials. A connection to the dual $-1$ Hahn polynomials is also established.
