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Hypergeometric solutions to the symmetric q-Painlevé equations

Published 3 Apr 2013 in nlin.SI, math-ph, and math.MP | (1304.0858v3)

Abstract: 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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