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

Abstract

We consider a $q$-Painlevé III equation and a $q$-Painlevé 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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Cited by in corpus (3)

• The Padé interpolation method applied to $q$-Painlevé equations
• Hypergeometric $\tau$ Functions of the $q$-Painlevé Systems of Types $A_4^{(1)}$ and $(A_1+A_1^{\prime }{)}^{(1)}$
• Hypergeometric Solutions of the $A_4^{(1)}$-Surface $q$-Painlevé IV Equation