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

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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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Classical Analysis and ODEs, 34M55; 34M30

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http://salesiana.dossiersoluciones.com/handle/123456789/63409

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0202235
 http://arxiv.org/abs/math/0202235

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arXiv