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

article

Nobutaka Nakazono¹ 

[1] School of Mathematics and Statistics, The University of Sydney

关键词: q-Painlev´e equation;    basic hypergeometric function;    af fine Weyl group;    τ function;   

DOI  :  10.3842/SIGMA.2016.051

来源: National Academy of Science of Ukraine

【 摘 要 】

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.

【 授权许可】

Unknown