论文标题
根系上的多维矩阵反转和椭圆高几何序列
Multidimensional Matrix Inversions and Elliptic Hypergeometric Series on Root Systems
论文作者
论文摘要
多维矩阵反转为研究多个高几幅系列提供了强大的工具。为了将此技术扩展到椭圆高几幅系列，我们提出了三个新的多维矩阵反转。作为应用程序，我们获得了一个新的$ A_R $椭圆形杰克逊总和，以及几个二次，立方和四分之一的求和公式。
Multidimensional matrix inversions provide a powerful tool for studying multiple hypergeometric series. In order to extend this technique to elliptic hypergeometric series, we present three new multidimensional matrix inversions. As applications, we obtain a new $A_r$ elliptic Jackson summation, as well as several quadratic, cubic and quartic summation formulas.
