Multidimensional Matrix Inversions and Elliptic Hypergeometric Series on Root Systems
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...
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Datum: | 2020 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2020
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/210760 |
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| 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 |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862641544244232192 |
|---|---|
| author | Rosengren, Hjalmar Schlosser, Michael J. |
| author_facet | Rosengren, Hjalmar Schlosser, Michael J. |
| citation_txt | Multidimensional Matrix Inversions and Elliptic Hypergeometric Series on Root Systems. Hjalmar Rosengren and Michael J. Schlosser/ SIGMA 16 (2020), 088, 21 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | 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 as several quadratic, cubic, and quartic summation formulas.
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| first_indexed | 2026-03-15T06:55:34Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-210760 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-15T06:55:34Z |
| publishDate | 2020 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Rosengren, Hjalmar Schlosser, Michael J. 2025-12-17T14:29:19Z 2020 Multidimensional Matrix Inversions and Elliptic Hypergeometric Series on Root Systems. Hjalmar Rosengren and Michael J. Schlosser/ SIGMA 16 (2020), 088, 21 pages 1815-0659 2020 Mathematics Subject Classification: 33D67 arXiv:2005.02203 https://nasplib.isofts.kiev.ua/handle/123456789/210760 https://doi.org/10.3842/SIGMA.2020.088 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 as several quadratic, cubic, and quartic summation formulas. We thank the anonymous referees for several useful comments. The first author was partially supported by the Swedish Science Research Council. The second author was partially supported byAustrian Science Fundgrants S9607 and P32305. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Multidimensional Matrix Inversions and Elliptic Hypergeometric Series on Root Systems Article published earlier |
| spellingShingle | Multidimensional Matrix Inversions and Elliptic Hypergeometric Series on Root Systems Rosengren, Hjalmar Schlosser, Michael J. |
| title | Multidimensional Matrix Inversions and Elliptic Hypergeometric Series on Root Systems |
| title_full | Multidimensional Matrix Inversions and Elliptic Hypergeometric Series on Root Systems |
| title_fullStr | Multidimensional Matrix Inversions and Elliptic Hypergeometric Series on Root Systems |
| title_full_unstemmed | Multidimensional Matrix Inversions and Elliptic Hypergeometric Series on Root Systems |
| title_short | Multidimensional Matrix Inversions and Elliptic Hypergeometric Series on Root Systems |
| title_sort | multidimensional matrix inversions and elliptic hypergeometric series on root systems |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/210760 |
| work_keys_str_mv | AT rosengrenhjalmar multidimensionalmatrixinversionsandelliptichypergeometricseriesonrootsystems AT schlossermichaelj multidimensionalmatrixinversionsandelliptichypergeometricseriesonrootsystems |