Hypergeometric $τ$ Function of the $q$-Painlevé Systems of Type $(A_2+A_1)^{(1)}$

Published 16 Aug 2010 in nlin.SI and math.CA | (1008.2595v2)

Abstract: 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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Authors (1)

Nobutaka Nakazono

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