Hypergeometric τ-Functions of the q-Painlevé System of Type E₇⁽¹⁾
We present the τ-functions for the hypergeometric solutions to the q-Painlevé system of type E₇⁽¹⁾ in a determinant formula whose entries are given by the basic hypergeometric function ₈W₇. By using the W(D₅) symmetry of the function ₈W₇, we construct a set of twelve solutions and describe the actio...
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| Datum: | 2009 |
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| Sprache: | English |
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Інститут математики НАН України
2009
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| Schriftenreihe: | Symmetry, Integrability and Geometry: Methods and Applications |
| Online Zugang: | http://dspace.nbuv.gov.ua/handle/123456789/149150 |
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| Zitieren: | Hypergeometric τ-Functions of the q-Painlevé System of Type E₇⁽¹⁾ / T. Masuda // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 18 назв. — англ. |
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irk-123456789-1491502019-02-20T01:25:04Z Hypergeometric τ-Functions of the q-Painlevé System of Type E₇⁽¹⁾ Masuda, T. We present the τ-functions for the hypergeometric solutions to the q-Painlevé system of type E₇⁽¹⁾ in a determinant formula whose entries are given by the basic hypergeometric function ₈W₇. By using the W(D₅) symmetry of the function ₈W₇, we construct a set of twelve solutions and describe the action of ~W(D₆⁽¹⁾) on the set. 2009 Article Hypergeometric τ-Functions of the q-Painlevé System of Type E₇⁽¹⁾ / T. Masuda // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 18 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 33D15; 33D05; 33D60; 33E17 http://dspace.nbuv.gov.ua/handle/123456789/149150 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 present the τ-functions for the hypergeometric solutions to the q-Painlevé system of type E₇⁽¹⁾ in a determinant formula whose entries are given by the basic hypergeometric function ₈W₇. By using the W(D₅) symmetry of the function ₈W₇, we construct a set of twelve solutions and describe the action of ~W(D₆⁽¹⁾) on the set. |
| format |
Article |
| author |
Masuda, T. |
| spellingShingle |
Masuda, T. Hypergeometric τ-Functions of the q-Painlevé System of Type E₇⁽¹⁾ Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Masuda, T. |
| author_sort |
Masuda, T. |
| title |
Hypergeometric τ-Functions of the q-Painlevé System of Type E₇⁽¹⁾ |
| title_short |
Hypergeometric τ-Functions of the q-Painlevé System of Type E₇⁽¹⁾ |
| title_full |
Hypergeometric τ-Functions of the q-Painlevé System of Type E₇⁽¹⁾ |
| title_fullStr |
Hypergeometric τ-Functions of the q-Painlevé System of Type E₇⁽¹⁾ |
| title_full_unstemmed |
Hypergeometric τ-Functions of the q-Painlevé System of Type E₇⁽¹⁾ |
| title_sort |
hypergeometric τ-functions of the q-painlevé system of type e₇⁽¹⁾ |
| publisher |
Інститут математики НАН України |
| publishDate |
2009 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/149150 |
| citation_txt |
Hypergeometric τ-Functions of the q-Painlevé System of Type E₇⁽¹⁾ / T. Masuda // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 18 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT masudat hypergeometrictfunctionsoftheqpainlevesystemoftypee71 |
| first_indexed |
2025-07-12T21:31:33Z |
| last_indexed |
2025-07-12T21:31:33Z |
| _version_ |
1837478334417600512 |