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.
Publié le : 2004-12-14
Classification:
34M55,
33C05,
33C15,
33E17
@article{1113246745,
author = {Masuda, Tetsu},
title = {Classical transcendental solutions of the Painlev\'e equations and their degeneration},
journal = {Tohoku Math. J. (2)},
volume = {56},
number = {1},
year = {2004},
pages = { 467-490},
language = {en},
url = {http://dml.mathdoc.fr/item/1113246745}
}
Masuda, Tetsu. Classical transcendental solutions of the Painlevé equations and their degeneration. Tohoku Math. J. (2), Tome 56 (2004) no. 1, pp. 467-490. http://gdmltest.u-ga.fr/item/1113246745/