An Algorithm for Solving Linear Ordinary Differential Equations of Fuchsian Type with Three Singular Points (Special Section for Workshop of Topology and Computer)

• FUJII Michihiko

  Division of Mathematics, Faculty of Integrated Human Studies, Kyoto University

• OCHIAI Hiroyuki

  Department of Mathematics, Graduate School of Science and Engineering, Tokyo Institute of Technology

書誌事項

タイトル別名

• An Algorithm for Solving Linear Ordinary Differential Equations of Fuchsian Type with Three Singular Points

抄録

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.

収録刊行物

• Interdisciplinary Information Sciences

  Interdisciplinary Information Sciences 9 (1), 189-200, 2003

  東北大学大学院情報科学研究科ジャーナル編集委員会

キーワード

• ordinary linear differential equation
• Fuchsian type
• factorization of differential operators
• Riemann’s <I>P</I> -equation
• hypergeometric function

詳細情報

• CRID: 1390282679414290944
• NII論文ID: 110000071790
• NII書誌ID: AA11032627
• DOI: 10.4036/iis.2003.189
• ISSN: 13476157
• ISSN: 13409050
• HANDLE: 10097/17417
• MRID: 2023118
• Web Site: https://tohoku.repo.nii.ac.jp/records/41698
• 本文言語コード: en
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• 抄録ライセンスフラグ: 使用不可