Hypergeometric solutions to the q-Painlev\'e equations
classification
🌊 nlin.SI
math.AG
keywords
equationsq-painlevhypergeometricsolutionsclassificationconstructedcurvesfunctions
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Hypergeometric solutions to seven q-Painlev\'e equations in Sakai's classification are constructed. Geometry of plane curves is used to reduce the q-Painlev\'e equations to the three-term recurrence relations for q-hypergeometric functions.
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