A new solution of the fourth Painlevé equation with a solvable monodromy

Kazuo Kaneko

doi:10.3792/pjaa.81.75

Translator Disclaimer

May 2005 A new solution of the fourth Painlevé equation with a solvable monodromy

Kazuo Kaneko

Proc. Japan Acad. Ser. A Math. Sci. 81(5): 75-79 (May 2005). DOI: 10.3792/pjaa.81.75

Abstract

We will study a new special solution of the fourth Painlevé equation, for which we can calculate the linear monodromy exactly. We will show the relation between Umemura's classical solutions and our solutions.

Citation

Download Citation

Kazuo Kaneko. "A new solution of the fourth Painlevé equation with a solvable monodromy." Proc. Japan Acad. Ser. A Math. Sci. 81 (5) 75 - 79, May 2005. https://doi.org/10.3792/pjaa.81.75