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arXiv · 1207.6446

Hypergeometric Solutions for the $q$-Painlevé Equation of type $E^{(1)}_6$ by Padé Method

Yusuke Ikawa
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Abstract

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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Yusuke Ikawa. 2012-07-27. Hypergeometric Solutions for the $q$-Painlevé Equation of type $E^{(1)}_6$ by Padé Method. https://doi.org/10.1007/s11005-013-0610-0

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