A Variation of the q-Painlevé System with Affine Weyl Group Symmetry of Type E₇⁽¹⁾
Recently a certain q-Painlevé type system has been obtained from a reduction of the q-Garnier system. In this paper it is shown that the q-Painlevé type system is associated with another realization of the affine Weyl group symmetry of type E₇⁽¹⁾ and is different from the well-known q-Painlevé syste...
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| Дата: | 2017 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2017
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/149269 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | A Variation of the q-Painlevé System with Affine Weyl Group Symmetry of Type E₇⁽¹⁾ / H. Nagao // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 50 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-149269 |
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dspace |
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irk-123456789-1492692019-02-20T01:23:43Z A Variation of the q-Painlevé System with Affine Weyl Group Symmetry of Type E₇⁽¹⁾ Nagao, H. Recently a certain q-Painlevé type system has been obtained from a reduction of the q-Garnier system. In this paper it is shown that the q-Painlevé type system is associated with another realization of the affine Weyl group symmetry of type E₇⁽¹⁾ and is different from the well-known q-Painlevé system of type E₇⁽¹⁾ from the point of view of evolution directions. We also study a connection between the q-Painlevé type system and the q-Painlevé system of type E₇⁽¹⁾. Furthermore determinant formulas of particular solutions for the q-Painlevé type system are constructed in terms of the terminating q-hypergeometric function. 2017 Article A Variation of the q-Painlevé System with Affine Weyl Group Symmetry of Type E₇⁽¹⁾ / H. Nagao // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 50 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 14H70; 33D15; 33D70; 34M55; 37K20; 39A13; 41A21 DOI:10.3842/SIGMA.2017.092 http://dspace.nbuv.gov.ua/handle/123456789/149269 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 |
Recently a certain q-Painlevé type system has been obtained from a reduction of the q-Garnier system. In this paper it is shown that the q-Painlevé type system is associated with another realization of the affine Weyl group symmetry of type E₇⁽¹⁾ and is different from the well-known q-Painlevé system of type E₇⁽¹⁾ from the point of view of evolution directions. We also study a connection between the q-Painlevé type system and the q-Painlevé system of type E₇⁽¹⁾. Furthermore determinant formulas of particular solutions for the q-Painlevé type system are constructed in terms of the terminating q-hypergeometric function. |
| format |
Article |
| author |
Nagao, H. |
| spellingShingle |
Nagao, H. A Variation of the q-Painlevé System with Affine Weyl Group Symmetry of Type E₇⁽¹⁾ Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Nagao, H. |
| author_sort |
Nagao, H. |
| title |
A Variation of the q-Painlevé System with Affine Weyl Group Symmetry of Type E₇⁽¹⁾ |
| title_short |
A Variation of the q-Painlevé System with Affine Weyl Group Symmetry of Type E₇⁽¹⁾ |
| title_full |
A Variation of the q-Painlevé System with Affine Weyl Group Symmetry of Type E₇⁽¹⁾ |
| title_fullStr |
A Variation of the q-Painlevé System with Affine Weyl Group Symmetry of Type E₇⁽¹⁾ |
| title_full_unstemmed |
A Variation of the q-Painlevé System with Affine Weyl Group Symmetry of Type E₇⁽¹⁾ |
| title_sort |
variation of the q-painlevé system with affine weyl group symmetry of type e₇⁽¹⁾ |
| publisher |
Інститут математики НАН України |
| publishDate |
2017 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/149269 |
| citation_txt |
A Variation of the q-Painlevé System with Affine Weyl Group Symmetry of Type E₇⁽¹⁾ / H. Nagao // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 50 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
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2023-05-20T17:31:43Z |
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2023-05-20T17:31:43Z |
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