Hypergeometric Solutions for the $q$-Painlevé Equation of type
$E^{(1)}_6$ by Padé Method [PDF]
Yusuke IkawaThe $q$-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.View original: http://arxiv.org/abs/1207.6446
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