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An asymptotic reduction of a Painlevé VI equation to a Painlevé III

TitleAn asymptotic reduction of a Painlevé VI equation to a Painlevé III
Publication TypeJournal Article
Year of Publication2011
AuthorsGuzzetti, D
JournalJ.Phys.A: Math.Theor. 44 (2011) 215203
Abstract

When the independent variable is close to a critical point, it is shown that\\r\\nPVI can be asymptotically reduced to PIII. In this way, it is possible to\\r\\ncompute the leading term of the critical behaviors of PVI transcendents\\r\\nstarting from the behaviors of PIII transcendents.

URLhttp://hdl.handle.net/1963/5124
DOI10.1088/1751-8113/44/21/215203

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