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Hypergeometric τ-Functions of the q-Painlevé System 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, 2009, том 5
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| dc.contributor.author | Masuda, T. | |
| dc.date.accessioned | 2019-02-19T17:41:58Z | |
| dc.date.available | 2019-02-19T17:41:58Z | |
| dc.date.issued | 2009 | |
| dc.identifier.citation | 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. | uk_UA |
| dc.identifier.issn | 1815-0659 | |
| dc.identifier.other | 2000 Mathematics Subject Classification: 33D15; 33D05; 33D60; 33E17 | |
| dc.identifier.uri | http://dspace.nbuv.gov.ua/handle/123456789/149150 | |
| dc.description.abstract | 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. | uk_UA |
| dc.description.sponsorship | This paper is a contribution to the Proceedings of the Workshop “Elliptic Integrable Systems, Isomonodromy Problems, and Hypergeometric Functions” (July 21–25, 2008, MPIM, Bonn, Germany). The author would like to express his sincere thanks to Professors M. Noumi and Y. Yamada for valuable discussions and comments. Especially, he owes initial steps of this work, including the formulation by means of the lattice τ -functions and the bilinear equations, to discussions with them. The author would also thank Professors K. Kajiwara and Y. Ohta for stimulating discussions. | 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 | Hypergeometric τ-Functions of the q-Painlevé System of Type E₇⁽¹⁾ | uk_UA |
| dc.type | Article | uk_UA |
| dc.status | published earlier | uk_UA |
