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

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2009
• Main Author: Masuda, T.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2009
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/149150
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: 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.

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 actio...