On the Schlesinger transformations of the sixth Painlevé equation

Details On the Schlesinger transformations of the sixth Painlevé equation On the Schlesinger transformations of the sixth Painlevé equation

2001-03-26

arxiv.org/abs/math/0103165v1

Mathematics

Classical Analysis and ODEs

in French, LaTeX, 5 pages, to appear, Comptes rendus Acad. Sci. Paris

Scientific paper

10.1016/S0764-4442(01)01944-9

Following the recent discovery of two new Schlesinger transformations (ST)
for the sixth Painlev\'e equation, we give the interrelations between all the
known STs. We thus isolate the unique one which at the same time conserves the
independent variable and is not a product of other STs.

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