Hypergeometric τ-Functions of the q-Painlevé System of Type E_7^{(1)}
We present the τ-functions for the hypergeometric solutions to the q-Painlevé 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 descr...
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| Format: | Article |
| Language: | English |
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National Academy of Science of Ukraine
2009-03-01
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| Series: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Online Access: | http://dx.doi.org/10.3842/SIGMA.2009.035 |