Explicit form of the Yablonskii - Vorob'ev polynomials

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Special polynomials associated with rational solutions of the second Painlevé equation and other members of its hierarchy are discussed. New approach, which allows one to construct each polynomial is presented. The structure of the polynomials is established. Formulas of their coefficients are found. Correlations between the roots of every polynomial are obtained.
21 pages

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Exactly Solvable and Integrable Systems

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http://salesiana.dossiersoluciones.com/handle/123456789/110403

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/nlin/0603044
 http://arxiv.org/abs/nlin/0603044

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arXiv