Multidimensional Matrix Inversions and Elliptic Hypergeometric Series on Root Systems

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2020
• Hauptverfasser: Rosengren, Hjalmar, Schlosser, Michael J.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2020
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/210760
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: Multidimensional Matrix Inversions and Elliptic Hypergeometric Series on Root Systems. Hjalmar Rosengren and Michael J. Schlosser/ SIGMA 16 (2020), 088, 21 pages

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 ᵣ elliptic Jackson summation, as well...