On the Radius of Convergence of the Simplest Power Series Solution of Painleve-I equation II(A Singular Solution)
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概要
- 論文の詳細を見る
In our previous paper [1] we considered the simplest power series solution of the Painleve-I equation which is regular at the origin. This note is a sequel to it. Here we consider another simplest Laurent series solution which is singular at the origin. Important feature of this solution is the location of the singularities. The location of the nearest singularity from the origin is given by the radius S of convergence of this Laurent series. The value of S is calculated numerically by the same method as in [1]. We obtained S = 2.56.... Various theoretical bounds for S are also obtained. The mathematical part of this work was done by Kametaka and the numerical part by Noda.
- 徳島大学の論文
- 1987-01-31
著者
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Noda Matu-tarow
Departiment Of Electronic Engineering Fuculty Of Engineering Ehime University
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Noda Matu-tarow
Department Of Electronic Engineering Faculty Of Engineering Ehime University
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KAMETAKA Yoshinori
Department of Mathematics and Computer Sciences, Faculty of Integrated Arts and Sciences, Tokushima
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Kametaka Yoshinori
Department Of Mathematics And Computer Sciences Faculty Of Integrated Arts And Sciences Tokushima Un
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