Наукова електронна бібліотека
періодичних видань НАН України
періодичних видань НАН України
Theta Functions, Elliptic Hypergeometric Series, and Kawanaka's Macdonald Polynomial Conjecture
Репозиторій DSpace/Manakin
- Домашня сторінка
- →
- Фізико-технічні та математичні науки
- →
- Відділення математики
- →
- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
- →
- Symmetry, Integrability and Geometry: Methods and Applications, 2009, том 5
- →
- Symmetry, Integrability and Geometry: Methods and Applications, 2009, том 5, випуск за цей рік
- →
- Переглянути статтю
JavaScript is disabled for your browser. Some features of this site may not work without it.
| dc.contributor.author | Langer, R. | |
| dc.contributor.author | Schlosser, M.J. | |
| dc.contributor.author | Warnaar, S.O. | |
| dc.date.accessioned | 2019-02-19T17:41:06Z | |
| dc.date.available | 2019-02-19T17:41:06Z | |
| dc.date.issued | 2009 | |
| dc.identifier.citation | Theta Functions, Elliptic Hypergeometric Series, and Kawanaka's Macdonald Polynomial Conjecture / R. Langer, M.J. Schlosser, S.O. Warnaar // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 24 назв. — англ. | uk_UA |
| dc.identifier.issn | 1815-0659 | |
| dc.identifier.other | 2000 Mathematics Subject Classification: 05E05; 33D52; 33D67 | |
| dc.identifier.uri | http://dspace.nbuv.gov.ua/handle/123456789/149148 | |
| dc.description.abstract | We give a new theta-function identity, a special case of which is utilised to prove Kawanaka's Macdonald polynomial conjecture. The theta-function identity further yields a transformation formula for multivariable elliptic hypergeometric series which appears to be new even in the one-variable, basic case. | uk_UA |
| dc.description.sponsorship | This paper is a contribution to the Proceedings of the Workshop “Elliptic Integrable Systems, Isomonodromy Problems, and Hypergeometric Functions” (July 21–25, 2008, MPIM, Bonn, Germany). We thank the anonymous referees for helpful comments. The work reported in this paper is supported by the Australian Research Council and by FWF Austrian Science Fund grants P17563-N13 and S9607. | uk_UA |
| dc.language.iso | en | uk_UA |
| dc.publisher | Інститут математики НАН України | uk_UA |
| dc.relation.ispartof | Symmetry, Integrability and Geometry: Methods and Applications | |
| dc.title | Theta Functions, Elliptic Hypergeometric Series, and Kawanaka's Macdonald Polynomial Conjecture | uk_UA |
| dc.type | Article | uk_UA |
| dc.status | published earlier | uk_UA |
