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The Painlevé Equations and Orthogonal Polynomials

✍ Scribed by Filipuk, Galina


Book ID
121784837
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
184 KB
Volume
43
Category
Article
ISSN
1571-0653

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On the Umemura polynomials for the Painl
✍ 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