Generating Function Associated with the Hankel Determinant Formula for the Solutions of the Painlevé IV Equation

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We consider a Hankel determinant formula for generic solutions of the Painlevé IV equation. We show that the generating functions for the entries of the Hankel determinants are related to the asymptotic solution at infinity of the isomonodromic problem. Summability of these generating functions are also discussed.
17 pages; Corrected some errors

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Exactly Solvable and Integrable Systems

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http://salesiana.dossiersoluciones.com/handle/123456789/106457

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/nlin/0512041
 http://arxiv.org/abs/nlin/0512041

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arXiv