Hypergeometric $\tau$ Functions of the $q$-Painlev\'e Systems of Types   $A_4^{(1)}$ and $(A_1+A_1')^{(1)}$
  We consider $q$-Painlev\'e equations arising from birational representations of the extended affine Weyl groups of $A_4^{(1)}$- and $(A_1+A_1)^{(1)}$-types. We study their hypergeometric solutions on the level of $\tau$ functions. 
Nobutaka Nakazono
nlin.SI math-ph math.MP