Geometric properties of the Riemann surfaces associated with the Noumi-Yamada systems with a large parameter

• Aoki Takashi

  Department of Mathematics, Kinki University

• Honda Naofumi

  Department of Mathematics, Hokkaido University

抄録

The system of algebraic equations for the leading terms of formal solutions to the Noumi-Yamada systems with a large parameter is studied. A formula which gives the number of solutions outside of turning points is established. The number of turning points of the first kind is also given.

収録刊行物

• Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ

  Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ 63 (4), 1085-1119, 2011

  一般社団法人 日本数学会

キーワード

• Noumi-Yamada systems
• Painleve hierarchy
• formal solutions

詳細情報

• CRID: 1390282680093284480
• NII論文ID: 10030344748
• NII書誌ID: AA0070177X
• DOI: 10.2969/jmsj/06341085
• ISSN: 18811167
• ISSN: 18812333
• ISSN: 00255645
• NDL書誌ID: 11284835
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I11284835
• 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
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