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

Vernadsky National Library of Ukraine

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Title Hypergeometric τ-Functions of the q-Painlevé System of Type E₇⁽¹⁾
 
Creator Masuda, T.
 
Description 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.
 
Date 2019-02-19T17:41:58Z
2019-02-19T17:41:58Z
2009
 
Type Article
 
Identifier 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.
1815-0659
2000 Mathematics Subject Classification: 33D15; 33D05; 33D60; 33E17
http://dspace.nbuv.gov.ua/handle/123456789/149150
 
Language en
 
Relation Symmetry, Integrability and Geometry: Methods and Applications
 
Publisher Інститут математики НАН України