Lauricella's F[c] with finite irreducible monodromy group

• Goto Yoshiaki

  General Education, Otaru University of Commerce

書誌事項

タイトル別名

• Lauricella's 𝐹_𝐶 with finite irreducible monodromy group

抄録

This paper presents our study of the conditions under which the monodromy group for Lauricella's hypergeometric function 𝐹_𝐶 (𝑎,𝑏,𝑐;𝑥) is finite irreducible. We provide these conditions in terms of the parameters 𝑎, 𝑏, 𝑐. In addition, we discuss the structure of the finite irreducible monodromy group.

収録刊行物

• Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ

  Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ 74 (1), 151-175, 2022

  一般社団法人 日本数学会

キーワード

• monodromy group
• reflection subgroup
• Lauricella's 𝐹_𝐶

詳細情報

• CRID: 1390290846630379392
• NII論文ID: 130008144236
• NII書誌ID: AA0070177X
• DOI: 10.2969/jmsj/83498349
• ISSN: 18811167
• ISSN: 18812333
• ISSN: 00255645
• NDL書誌ID: 031943466
• Web Site: http://id.ndl.go.jp/bib/031943466
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I031943466
• 本文言語コード: en
• データソース種別:
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  • NDL
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  • KAKEN
• 抄録ライセンスフラグ: 使用不可