A Variation of the q-Painlevé System with Affine Weyl Group Symmetry of Type E₇⁽¹⁾
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
A Variation of the q-Painlevé System with Affine Weyl Group Symmetry of Type E₇⁽¹⁾
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| Creator |
Nagao, H.
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| 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.
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| Date |
2019-02-19T19:33:11Z
2019-02-19T19:33:11Z 2017 |
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| Type |
Article
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| Identifier |
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 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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