Transformations RS42(3) of the Ranks ≤ 4¶and Algebraic Solutions of the Sixth Painlevé Equation |
| |
| Authors: | F V Andreev A V Kitaev |
| |
| Institution: | 1.Steklov Mathematical Institute, Fontanka 27, 191011 St.Petersburg, Russia. E-mail: kitaev@pdmi.ras.ru,RU;2.Western Illinois University, Department of Mathematics, Macomb, IL 61455, USA.?E-mail: F-Andreev@wiu.edu,US |
| |
| Abstract: | Compositions of rational transformations of independent variables of linear matrix ordinary differential equations (ODEs)
with the Schlesinger transformations (RS-transformations) are used to construct algebraic solutions of the sixth Painlevé equation. RS-Transformations of the ranks 3 and 4 of 2 × 2 matrix Fuchsian ODEs with 3 singular points into analogous ODE with 4 singular
points are classified.
Received: 17 August 2001 / Accepted: 14 February 2002 |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
