Hypergeometric solutions to the q-Painlevé equations

Abstract

Hypergeometric solutions to seven q-Painlevé equations in Sakai's classification are constructed. Geometry of plane curves is used to reduce the q-Painlevé equations to the three-term recurrence relations for q-hypergeometric functions.

17 pages

Cited by in corpus (1)

• Point configurations, Cremona transformations and the elliptic difference Painlevé equation