MR3157150
Nobutaka NAKAZONO and Seiji NISHIOKA
Nobutaka NAKAZONO and Seiji NISHIOKA
Solutions to a $q$-Analog of the Painleve III Equation of Type $D_7^{(1)}$
Funkcialaj Ekvacioj. Serio Internacia
56
2013
415--439
http://fe.math.kobe-u.ac.jp/FE/FullPapers/56-3/56_415.pdf
http://www.ams.org/mathscinet-getitem?mr=MR3157150
This paper treats a $q$-analog of the Painlevé III equation of type $D_7^{(1)}$. We study its algebraic function solutions and transcendental function solutions. We construct algebraic function solutions expressed in terms of Laurent polynomials and prove the irreducibility of the equation in the sense of decomposable extensions.
$q$-Painlevé equation, $q$-difference equation, algebraic function solution, $\tau$ function, irreducibility.
33E17, 34M55, 39A13.
56-415
2013
Solutions to a $q$-Analog of the Painleve III Equation of Type $D_7^{(1)}$
Nobutaka NAKAZONO and Seiji NISHIOKA
Nobutaka NAKAZONO and Seiji NISHIOKA
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