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

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

2002-02-22

arxiv.org/abs/math/0202235v2

Mathematics

Classical Analysis and ODEs

Scientific paper

In this paper we study the asymptotic behavior for large argument of a family
of solutions of the Painlev\'e 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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