Hypergeometric $\tau$-Functions of the $q$-Painlev\'e System of Type $E_7^{(1)}$
| Autor: | Masuda, Tetsu |
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| Rok vydání: | 2009 |
| Předmět: | |
| Zdroj: | SIGMA 5 (2009), 035, 30 pages |
| Druh dokumentu: | Working Paper |
| DOI: | 10.3842/SIGMA.2009.035 |
| Popis: | We present the $\tau$-functions for the hypergeometric solutions to the $q$-Painlev\'e system of type $E_7^{(1)}$ in a determinant formula whose entries are given by the basic hypergeometric function ${}_8W_7$. By using the $W(D_5)$ symmetry of the function ${}_8W_7$, we construct a set of twelve solutions and describe the action of $\widetilde{W}(D_6^{(1)})$ on the set. |
| Databáze: | arXiv |
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