Abstract
Explicit determinant formulas are presented for the $\tau$-functions of the generalized Painlevé equations of type $A$. This result allows an interpretation of the $\tau$-functions as the Plücker coordinates of the universal Grassmann manifold.
Citation
Yasuhiko Yamada. "Determinant formulas for the {$\tau$}-functions of the Painlevé equations of type {$A$}." Nagoya Math. J. 156 123 - 134, 1999.
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