Generating Function Associated with the Determinant Formula for the Solutions of the Painleve' II Equation

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In this paper we consider a Hankel determinant formula for generic solutions of the Painleve' II equation. We show that the generating functions for the entries of the Hankel determinants are related to the asymptotic solution at infinity of the linear problem of which the Painleve' II equation describes the isomonodromic deformations.
9 pages, dedicated to Jean Pierre Ramis. A comment on summability is added

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Exactly Solvable and Integrable Systems, Mathematical Physics

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http://salesiana.dossiersoluciones.com/handle/123456789/80756

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/nlin/0406035
 http://arxiv.org/abs/nlin/0406035

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arXiv