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On the Painlevé test for non-Abelian equations

✍ Scribed by S.P. Balandin; V.V. Sokolov

Book ID
108445133
Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
401 KB
Volume
246
Category
Article
ISSN
0375-9601

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On the Umemura polynomials for the Painl
On the Umemura polynomials for the Painlevé III equation
✍ Kenji Kajiwara; Tetsu Masuda 📂 Article 📅 1999 🏛 Elsevier Science 🌐 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