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.

References in corpus (2)

• Hypergeometric solutions to the q-Painlevé equation of type $A_4^{(1)}$
• Hypergeometric $\tau$-Functions of the $q$-Painlevé System of Type $E_7^{(1)}$