Hypergeometric Solutions for the $q$-Painlev\'e Equation of type $E^{(1)}_6$ by Pad\'e Method
Mathematical Physics
2015-06-05 v1 math.MP
Exactly Solvable and Integrable Systems
Abstract
The -Painlev\'e equation of type is obtained by Pad\'e method. Special solutions in determinant formula to the -Painlev\'e equation is presented. A relation between Pad\'e method and B\"acklund transformation of type is given.
Cite
@article{arxiv.1207.6446,
title = {Hypergeometric Solutions for the $q$-Painlev\'e Equation of type $E^{(1)}_6$ by Pad\'e Method},
author = {Yusuke Ikawa},
journal= {arXiv preprint arXiv:1207.6446},
year = {2015}
}
Comments
23 pages, 2 figures