Funkcialaj Ekvacioj
Print ISSN : 0532-8721
Padé Method to Painlevé Equations
Yasuhiko Yamada
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ジャーナル フリー

2009 年 52 巻 1 号 p. 83-92

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抄録
A class of special solutions of Painlevé/Garnier systems arising as the Bäcklund or Schlesinger transformations of the Riccati solutions is known. In the past several years, the corresponding τ-functions have been explicitly computed and expressed as certain specialization of the Schur functions with rectangle shape partitions. In this note, we will give a simple and direct derivation of these solutions. Our method is based on the Padé approximation and its intrinsic relation to iso-monodromy deformations.
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© 2009 by the Division of Functional Equations, The Mathematical Society of Japan
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