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

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

2010-08-16

arxiv.org/abs/1008.2595v2

SIGMA 6 (2010), 084, 16 pages

Nonlinear Sciences

Exactly Solvable and Integrable Systems

Scientific paper

10.3842/SIGMA.2010.084

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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