Hypergeometric Solutions for the $q$-Painlevé Equation of type $E^{(1)}_6$ by Padé Method
The $q$-Painlevé equation of type $E^{(1)}_6$ is obtained by Padé method. Special solutions in determinant formula to the $q$-Painlevé equation is presented. A relation between Padé method and Bäcklund transformation of type $E^{(1)}_6$ is given.
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