On a q-difference Painlev\'e III equation: I. Derivation, symmetry and   Riccati type solutions
  A q-difference analogue of the Painlev\'e III equation is considered. Its derivations, affine Weyl group symmetry, and two kinds of special function type solutions are discussed. 
Kenji Kajiwara (1) and Kinji Kimura (2) ((1) Graduate School of   Mathematics, Kyushu University, (2) Department of Mathemat...