Hypergeometric τ - Functions of the q - Painlevé System of Type E ( 1 ) 7 ⋆

نویسنده

  • Tetsu MASUDA
چکیده

We present the τ -functions for the hypergeometric solutions to the q-Painlevé system of type E (1) 7 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 W̃ (D (1) 6 ) on the set.

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تاریخ انتشار 2009