ID  78 
Author 
Kametaka, Yoshinori
Department of Mathematics and Computer Sciences, Faculty of Integrated Arts and Sciences, Tokushima University
Noda, MatuTarow
Department of Electronic Engineering Faculty of Engineering, Ehime University

Content Type 
Departmental Bulletin Paper

Description  In our previous paper [1] we considered the simplest power series solution of the PainleveI 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.

Journal Title 
Journal of mathematics, Tokushima University

ISSN  00754293

NCID  AA00701816

Volume  20

Start Page  49

End Page  59

Sort Key  49

Published Date  19870131

Remark  公開日:2010年1月24日で登録したコンテンツは、国立情報学研究所において電子化したものです。

FullText File  
language 
eng
