Hypergeometric solutions to the q-Painlev\'e equations
  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. 
Kenji Kajiwara, Tetsu Masuda, Masatoshi Noumi, Yasuhiro Ohta and   Yasuhiko Yamada