Hypergeometric Solutions for the $q$-Painlev\'e Equation of type   $E^{(1)}_6$ by Pad\'e Method
  The $q$-Painlev\'e equation of type $E^{(1)}_6$ is obtained by Pad\'e method. Special solutions in determinant formula to the $q$-Painlev\'e equation is presented. A relation between Pad\'e method and B\"acklund transformation of type $E^{(1)}_6$ is given. 
Yusuke Ikawa
math-ph math.MP nlin.SI