Open Access
May 2006 Painlevé VI transcendents which are meromorphic at a fixed singularity
Kazuo Kaneko
Proc. Japan Acad. Ser. A Math. Sci. 82(5): 71-76 (May 2006). DOI: 10.3792/pjaa.82.71

Abstract

We will study special solutions of the sixth Painlevé equation which are meromorphic at a fixed singularity. We will calculate the linear monodromy for our solutions. We will show the relation between Umemura's classical solutions and our solutions.

Citation

Download Citation

Kazuo Kaneko. "Painlevé VI transcendents which are meromorphic at a fixed singularity." Proc. Japan Acad. Ser. A Math. Sci. 82 (5) 71 - 76, May 2006. https://doi.org/10.3792/pjaa.82.71

Information

Published: May 2006
First available in Project Euclid: 1 June 2006

zbMATH: 1134.33324
MathSciNet: MR2228510
Digital Object Identifier: 10.3792/pjaa.82.71

Subjects:
Primary: 34M55
Secondary: 33C15

Keywords: monodromy data , The Painlevé equation

Rights: Copyright © 2006 The Japan Academy

Vol.82 • No. 5 • May 2006
Back to Top