标题： 多元Askey-Wilson函数和重叠系数 显示英文标题

标题： Multivariate Askey-Wilson functions and overlap coefficients

摘要： 我们研究出现在量子代数$\U_q(\mathfrak{sl}_2(\C))$表示理论中的某些重叠系数。 重叠系数可以被识别为阿斯基-威尔逊函数的乘积，从而为Geronimo和Iliev引入的多元阿斯基-威尔逊函数提供了代数解释。 我们利用底层的余代数结构来推导多元阿斯基-威尔逊函数满足的$q$-差分方程。 显示英文摘要

摘要： We study certain overlap coefficients appearing in representation theory of the quantum algebra $\U_q(\mathfrak{sl}_2(\C))$. The overlap coefficients can be identified as products of Askey-Wilson functions, leading to an algebraic interpretation of the multivariate Askey-Wilson functions introduced by Geronimo and Iliev. We use the underlying coalgebra structure to derive $q$-difference equations satisfied by the multivariate Askey-Wilson functions.