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For the Painlev\'e 6 transcendents, we provide a unitary description of the critical behaviours, the connection formulae, their complete tabulation, and the asymptotic distribution of the poles close to a critical point.
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D. Guzzetti: The Logarithmic asymptotics of the sixth Painlevé equation
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O. Gamayun, N. Iorgov, O. Lisovyy: Conformal field theory of Painlevé VI
2012
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D. Guzzetti Tabulation of Painlevé 6 Transcendents
2012
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N. Iorgov, O. Lisovyy, A. Shchechkin, Y. Tykhyy: Painlevé Functions and Conformal Blocks
2014
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