Hypergeometric τ-Functions of the q-Painlevé System of Type E₇⁽¹⁾

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dc.contributor.authorMasuda, T.
dc.date.accessioned2019-02-19T17:41:58Z
dc.date.available2019-02-19T17:41:58Z
dc.date.issued2009
dc.description.abstractWe 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.sponsorshipThis 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.identifier.citationHypergeometric 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.issn1815-0659
dc.identifier.other2000 Mathematics Subject Classification: 33D15; 33D05; 33D60; 33E17
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/149150
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleHypergeometric τ-Functions of the q-Painlevé System of Type E₇⁽¹⁾uk_UA
dc.typeArticleuk_UA

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Symmetry, Integrability and Geometry: Methods and Applications, 2009, том 5, випуск за цей рік