A Variation of the q-Painlevé System with Affine Weyl Group Symmetry of Type E₇⁽¹⁾

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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2017, том 13
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dc.contributor.author	Nagao, H.
dc.date.accessioned	2019-02-19T19:33:11Z
dc.date.available	2019-02-19T19:33:11Z
dc.date.issued	2017
dc.identifier.citation	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.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2010 Mathematics Subject Classification: 14H70; 33D15; 33D70; 34M55; 37K20; 39A13; 41A21
dc.identifier.other	DOI:10.3842/SIGMA.2017.092
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/149269
dc.description.abstract	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.	uk_UA
dc.description.sponsorship	The author shall be thankful to Professor Yasuhiko Yamada for valuable discussions. The author is also grateful to the referees for stimulating comments. This work was partially supported by Expenses Revitalizing Education and Research of Akashi College (0217030).	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	A Variation of the q-Painlevé System with Affine Weyl Group Symmetry of Type E₇⁽¹⁾	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA