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On the Schlesinger transformations of the sixth Painlevé equation

Robert Conte
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Abstract

Following the recent discovery of two new Schlesinger transformations (ST) for the sixth Painlevé 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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Robert Conte. 2001-03-26. On the Schlesinger transformations of the sixth Painlevé equation. https://doi.org/10.1016/s0764-4442(01)01944-9

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