Theta Functions, Elliptic Hypergeometric Series, and Kawanaka's Macdonald Polynomial Conjecture
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,...
Gespeichert in:
| Datum: | 2009 |
|---|---|
| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Інститут математики НАН України
2009
|
| Schriftenreihe: | Symmetry, Integrability and Geometry: Methods and Applications |
| Online Zugang: | http://dspace.nbuv.gov.ua/handle/123456789/149148 |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-149148 |
|---|---|
| record_format |
dspace |
| fulltext |
|
| spelling |
irk-123456789-1491482019-02-20T01:27:57Z Theta Functions, Elliptic Hypergeometric Series, and Kawanaka's Macdonald Polynomial Conjecture Langer, R. Schlosser, M.J. Warnaar, S.O. 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. 2009 Article 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. 1815-0659 2000 Mathematics Subject Classification: 05E05; 33D52; 33D67 http://dspace.nbuv.gov.ua/handle/123456789/149148 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
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. |
| format |
Article |
| author |
Langer, R. Schlosser, M.J. Warnaar, S.O. |
| spellingShingle |
Langer, R. Schlosser, M.J. Warnaar, S.O. Theta Functions, Elliptic Hypergeometric Series, and Kawanaka's Macdonald Polynomial Conjecture Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Langer, R. Schlosser, M.J. Warnaar, S.O. |
| author_sort |
Langer, R. |
| title |
Theta Functions, Elliptic Hypergeometric Series, and Kawanaka's Macdonald Polynomial Conjecture |
| title_short |
Theta Functions, Elliptic Hypergeometric Series, and Kawanaka's Macdonald Polynomial Conjecture |
| title_full |
Theta Functions, Elliptic Hypergeometric Series, and Kawanaka's Macdonald Polynomial Conjecture |
| title_fullStr |
Theta Functions, Elliptic Hypergeometric Series, and Kawanaka's Macdonald Polynomial Conjecture |
| title_full_unstemmed |
Theta Functions, Elliptic Hypergeometric Series, and Kawanaka's Macdonald Polynomial Conjecture |
| title_sort |
theta functions, elliptic hypergeometric series, and kawanaka's macdonald polynomial conjecture |
| publisher |
Інститут математики НАН України |
| publishDate |
2009 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/149148 |
| citation_txt |
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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT langerr thetafunctionselliptichypergeometricseriesandkawanakasmacdonaldpolynomialconjecture AT schlossermj thetafunctionselliptichypergeometricseriesandkawanakasmacdonaldpolynomialconjecture AT warnaarso thetafunctionselliptichypergeometricseriesandkawanakasmacdonaldpolynomialconjecture |
| first_indexed |
2025-07-12T21:31:22Z |
| last_indexed |
2025-07-12T21:31:22Z |
| _version_ |
1837478322341150720 |