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Asymptotic properties of a family of solutions of the Painleve equation PVI

2002/02/22 by O Costin, Costin, O, R D Costin +1
Mathematics · #34M30 #34M55 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #math.CA #msc:34M30 #msc:34M55

paper · pdf · doi:10.48550/arxiv.math/0202235

arxiv created 2002/03/05 · arxiv updated 2009/11/30

Abstract

In this paper we study the asymptotic behavior for large argument of a family of solutions of the Painlevé equation P\rm VI arising in the context of Random Matrix Theory [1]. We show this family of solutions are uniquely determined by their asymptotic properties.

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