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arxiv: 1304.0858 · v3 · pith:PLN3J3X2new · submitted 2013-04-03 · 🌊 nlin.SI · math-ph· math.MP

Hypergeometric solutions to the symmetric q-Painlev\'e equations

classification 🌊 nlin.SI math-phmath.MP
keywords equationshypergeometricq-painlevsolutionssymmetricaffineapplyingbirational
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We consider the symmetric q-Painlev\'e equations derived from the birational representation of affine Weyl groups by applying the projective reduction and construct the hypergeometric solutions. Moreover, we discuss continuous limits of the symmetric q-Painlev\'e equations to Painlev\'e equations together with their hypergeometric solutions.

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