Kyushu Journal of Mathematics
Online ISSN : 1883-2032
Print ISSN : 1340-6116
ISSN-L : 1340-6116
ON THE HOLONOMIC DEFORMATION OF LINEAR DIFFERENTIAL EQUATIONS WITH A REGULAR SINGULAR POINT AND AN IRREGULAR SINGULAR POINT
Hiroyuki KAWAMUKO
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ジャーナル フリー

2003 年 57 巻 1 号 p. 1-28

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抄録
For each positive integer g, we derive a completely integrable Hamiltonian system in g variables from the holonomic deformation of a linear differential equation with a regular singular point and an irregular singular point of Poincaré rank g + 1. For g = 1, this Hamiltonian system is equivalent to the fourth Painlevé equation.
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© 2003 by Faculty of Mathematics, Kyushu University
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