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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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Kaituhi matua: Tetsu Masuda
Hōputu: Artigo
Reo:Inglês
I whakaputaina: National Academy of Science of Ukraine 2009-03-01
Rangatū:Symmetry, Integrability and Geometry: Methods and Applications
Ngā marau:
Urunga tuihono:http://dx.doi.org/10.3842/SIGMA.2009.035
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