Hypergeometric solutions to the q-Painlevé equations

Details Hypergeometric solutions to the q-Painlevé equations Hypergeometric solutions to the q-Painlevé equations

2004-03-18

arxiv.org/abs/nlin/0403036v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

17 pages

Scientific paper

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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