Kernel Functions for Difference Operators of Ruijsenaars Type and Their Applications
Kernel Functions for Difference Operators of Ruijsenaars Type and Their Applications
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DOI：
10.3842/sigma.2009.054
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发表时间：
2008-12
影响因子：
0.9
通讯作者：
Y. Komori;M. Noumi;J. Shiraishi
中科院分区：
文献类型：
--
作者：
Y. Komori;M. Noumi;J. Shiraishi
本文给出了一种统一的方法来处理A型和BC型Ruijsenaars差分算子的核函数。作为三角函数情形的应用，导出了单列单列单列单行Koornwinder多项式的新的显式公式。
A unified approach is given to kernel functions which intertwine Ruijsenaars difference operators of type A and of type BC. As an application of the trigonometric cases, new explicit formulas for Koornwinder polynomials attached to single columns and single rows are derived.