On the Umemura polynomials for the Painl
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Kenji Kajiwara; Tetsu Masuda
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Article
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1999
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Elsevier Science
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English
⚖ 66 KB
A determinant expression of Jacobi-Trudi type for the rational solutions of the Painleve III P equation is presented. ## ´III Entries of determinant are given by the Laguerre polynomials. Degeneration of this determinant expression to that for the rational solutions of P is discussed by applying