On the Schlesinger transformations of the sixth Painleve equation

Authors
Conte, R
Citation
R. Conte, On the Schlesinger transformations of the sixth Painleve equation, CR AC S I, 332(6), 2001, pp. 501-504
Citations number
15
Categorie Soggetti
Mathematics
Journal title
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE
ISSN journal
07644442 → ACNP
Volume
332
Issue
6
Year of publication
2001
Pages
501 - 504
Database
ISI
SICI code
0764-4442(20010315)332:6<501:OTSTOT>2.0.ZU;2-1
Abstract
Following the recent discover of two new Schlesinger transformations (ST) S oi the sixth Painleve equation, we give the interrelations between all the known STs. We thus isolate the unique one which at the same rime conserves the independent variable and is not a product of other STs. (C) 2001 Academ ie des sciences/Editions scientifiques et medicales Elsevier SAS.