On confluence of general hypergeometric systems

• KIMURA HIRONOBU

  Department of Mathematics, Kumamoto University

• TAKANO KYOICHI

  Department of Mathematics, Kobe University

書誌事項

タイトル別名

• ON CONFLUENCES OF GENERAL HYPERGEOMETRIC SYSTEMS

抄録

We extend the well-known results about the process of confluence for the Gauss hypergeometric differential equation to the case of general hypergeometric systems. We see that the process of confluence comes from the geometry of the set of regular elements of the Lie algebra of complex general linear group. As a consequence, we give a geometric and group-theoretic view on the process of confluence for classical special functions.

収録刊行物

• Ｔｏｈｏｋｕ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｊｏｕｒｎａｌ，　Ｓｅｃｏｎｄ　Ｓｅｒｉｅｓ

  Ｔｏｈｏｋｕ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｊｏｕｒｎａｌ，　Ｓｅｃｏｎｄ　Ｓｅｒｉｅｓ 58 (1), 1-31, 2006

  東北大学大学院理学研究科数学専攻

キーワード

• Hypergeometric system
• confluence
• regular element
• stratification

詳細情報

• CRID: 1390001205115502080
• NII論文ID: 110004308599
• NII書誌ID: AA00863953
• DOI: 10.2748/tmj/1145390204
• ISSN: 2186585X
• ISSN: 00408735
• MRID: 2221790
• 本文言語コード: en
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