Hypergeometric τ Function of the q-Painlev\'e Systems of Type (A₂+A₁)⁽¹⁾
classification
🌊 nlin.SI
math.CA
keywords
painlevequationhypergeometrictypeaffinearisingbirationalconsider
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We consider a $q$-Painlev\'e III equation and a $q$-Painlev\'e II equation arising from a birational representation of the affine Weyl group of type $(A_2+A_1)^{(1)}$. We study their hypergeometric solutions on the level of $\tau$ functions.
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