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Two types of determinant representations of the rational solutions for thePainlev\'e II equation are discussed by using the bilinear formalism. One ofthem is a representation by the Devisme polynomials, and another one is aHankel determinant representation. They are derived from the determinantsolutions of the KP hierarchy and Toda lattice, respectively.Comment: 16 pages LaTeX. To appear in J. Math. Phys.(1996

Determinant structure of the rational solutions for the Painlevé II equation