Hypergeometric solutions to the symmetric q-Painlevé equations

Abstract

We consider the symmetric q-Painlevé 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-Painlevé equations to Painlevé equations together with their hypergeometric solutions.

32 pages and 4 figures

Cited by in corpus (1)

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