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.
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