期刊论文详细信息
Symmetry Integrability and Geometry-Methods and Applications | |
Multidimensional Matrix Inversions and Elliptic Hypergeometric Series on Root Systems | |
article | |
Hjalmar Rosengren1  Michael J. Schlosser2  | |
[1] Department of Mathematics, Chalmers University of Technology and the University of Gothenburg;Fakultät für Mathematik der Universität Wien | |
关键词: elliptic hypergeometric series; hypergeometric series associated with root systems; multidimensional matrix inversion 2020 Mathematics Subject Classification 33D67; | |
DOI : 10.3842/SIGMA.2020.088 | |
来源: National Academy of Science of Ukraine | |
【 摘 要 】
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.
【 授权许可】
Unknown
【 预 览 】
Files | Size | Format | View |
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RO202106300000638ZK.pdf | 479KB | download |