1304.0858 (Kenji Kajiwara et al.)

Hypergeometric solutions to the symmetric q-Painlevé equations    [PDF]

Kenji Kajiwara, Nobutaka Nakazono

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.

View original: http://arxiv.org/abs/1304.0858