Geodesic
Hypergeometric $\tau$ Functions of the $q$-Painlevé Systems of Types $A_4^{(1)}$ and $(A_1+A_1')^{(1)}$
Symmetry, integrability and geometry: methods and applications, Tome 12 (2016) Cet article a éte moissonné depuis la source Math-Net.Ru

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We consider $q$-Painlevé 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.
Keywords: $q$-Painlevé equation; basic hypergeometric function; affine Weyl group; $\tau$ function. 
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     author = {Nobutaka Nakazono},
     title = {Hypergeometric $\tau$ {Functions} of the $q${-Painlev\'e} {Systems} of {Types} $A_4^{(1)}$ and $(A_1+A_1')^{(1)}$},
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}
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Nobutaka Nakazono. Hypergeometric $\tau$ Functions of the $q$-Painlevé Systems of Types $A_4^{(1)}$ and $(A_1+A_1')^{(1)}$. Symmetry, integrability and geometry: methods and applications, Tome 12 (2016). http://geodesic.mathdoc.fr/item/SIGMA_2016_12_a50/

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