文章基本信息

标题：An Algorithm for Solving Linear Ordinary Differential Equations of Fuchsian Type with Three Singular Points
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作者：Michihiko FUJII ; Hiroyuki OCHIAI
期刊名称：Interdisciplinary Information Sciences
印刷版ISSN：1340-9050
电子版ISSN：1347-6157
出版年度：2003
卷号：9
期号：1
页码：189-200
DOI：10.4036/iis.2003.189
出版社：The Editorial Committee of the Interdisciplinary Information Sciences
摘要：We propose a method for representing the solutions of a certain type of ordinary differential operator L in terms of those of more fundamental differential operators. This method consists of two steps, decomposing L in the ring of differential operators and then describing the projections to the components of this decomposition also in terms of some differential operators. We provide a concrete algorithm for the application of this method and show that this algorithm is successful for a specific example of a 6-th order homogeneous linear ordinary differential operator of Fuchsian type with three singular points.
关键词：ordinary linear differential equation;Fuchsian type;factorization of differential operators;Riemann’s P -equation;hypergeometric function