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Hypergeometric $τ$ Functions of the $q$-Painlevé Systems of Types $A_4^{(1)}$ and $(A_1+A_1')^{(1)}$ (1601.05327v3)
Published 19 Jan 2016 in nlin.SI, math-ph, and math.MP
Abstract: We consider $q$-Painlev\'e equations arising from birational representations of the extended affine Weyl groups of $A_4{(1)}$- and $(A_1+A_1){(1)}$-types. We study their hypergeometric solutions on the level of $\tau$ functions.
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