Determinant formulas for the $τ$-functions of the Painlevé equations of type $A$

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Explicit determinant formulas are presented for the $τ$ functions of the generalized Painlevé equations of type $A$. This result allows an interpretation of the $τ$-functions as the Plücker coordinates of the universal Grassmann manifold.
latex 11 pages

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Quantum Algebra, Mathematical Physics

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http://salesiana.dossiersoluciones.com/handle/123456789/77234

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9808002
 http://arxiv.org/abs/math/9808002

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arXiv