MR2538278
Seiji NISHIOKA
Seiji NISHIOKA
On Solutions of $q$-Painlevé Equation of Type $A_7^{(1)}$
Funkcialaj Ekvacioj. Serio Internacia
52
2009
41--51
http://fe.math.kobe-u.ac.jp/FE/FullPapers/52-1/52_41.pdf
http://www.ams.org/mathscinet-getitem?mr=MR2538278
In this paper, we will study a property of solutions of $q$-Painlevé equation of type $A_7^{(1)}$. We propose the notion of decomposable extension and then prove the equation has no solution in any decomposable extension of $\mathbb{C}(t)$.
$q$-Painlevé equations, $q$-difference equations, Difference algebra.
12H10, 39A13, 33E17.
52-41
2009
On Solutions of $q$-Painlevé Equation of Type $A_7^{(1)}$
Seiji NISHIOKA
Seiji NISHIOKA
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