Construction of Hypergeometric Solutions to the q-Painlev\'e Equations
  Hypergeometric solutions to the q-Painlev\'e equations are constructed by direct linearization of disrcrete Riccati equations. The decoupling factors are explicitly determined so that the linear systems give rise to q-hypergeometric equations. 
Kenji Kajiwara, Tetsu Masuda, Masatoshi Noumi, Yasuhiro Ohta and   Yasuhiko Yamada