Proc. Japan Acad. Ser. A Math. Sci. 82 (5), 71-76, (May 2006) DOI: 10.3792/pjaa.82.71
KEYWORDS: The Painlevé equation, monodromy data, 34M55, 33C15
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.