Tohoku Mathematical Journal
2004
December
SECOND SERIES VOL. 56, NO. 4

Tohoku Math. J.
56 (2004), 467-490

Title CLASSICAL TRANSCENDENTAL SOLUTIONS OF THE PAINLEVÉ EQUATIONS AND THEIR DEGENERATION

Author Tetsu Masuda

(Received February 10, 2003, revised May 12, 2004)
Abstract. We present a determinant expression for a family of classical transcendental solutions of the Painlevé V and the Painlevé VI equation. Degeneration of these solutions along the process of coalescence for the Painlevé equations is discussed.

2000 Mathematics Subject Classification. Primary 34M55; Secondary 33C05, 33C15.

To the top of this page

Back to the Contents