Hypergeometric $\tau$ Functions of the $q$-Painlev\'e Systems of Types $A_4^{(1)}$ and $(A_1+A_1')^{(1)}$

Nobutaka Nakazono

arxiv: 1601.05327 · v3 · pith:WWIT7KFOnew · submitted 2016-01-19 · 🌊 nlin.SI · math-ph· math.MP

Hypergeometric τ Functions of the q-Painlev\'e Systems of Types A₄⁽¹⁾ and (A₁+A₁')⁽¹⁾

Nobutaka Nakazono This is my paper

classification 🌊 nlin.SI math-phmath.MP

keywords functionshypergeometricpainlevtypesaffinearisingbirationalconsider

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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.

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Hypergeometric τ Functions of the q-Painlev\'e Systems of Types A₄⁽¹⁾ and (A₁+A₁')⁽¹⁾

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