<図書>
Painlevé differential equations in the complex plane
責任表示 | Valerii I. Gromak, Ilpo Laine, Shun Shimomura |
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シリーズ | De Gruyter studies in mathematics ; 28 |
データ種別 | 図書 |
出版情報 | Berlin : Walter de Gruyter , 2002 |
本文言語 | 英語 |
大きさ | viii, 303 p. : ill. ; 25 cm |
概要 | Focusing on five of the 50 Painleve equations (two of which are modified to make the meromorphic like the others), Gromak (mathematics and mechanics, Belarussian State U., Belarus), Laine (mathematics... U. of Joensuu, Finland), and Shimomura (mathematics, Keio U., Japan) investigate their growth and value distributions. The core of the book is devoted to the integration of the equations in terms of elementary functions or some classical transcendental functions such as the Airy, Bessel, or hypergeometric functions, e.g. the Blacklund transformations. A final chapter describes some applications of the equations relevant to such areas as hydrodynamics, plasma physics, nonlinear optics, and solid state physics. Annotation (c)2003 Book News, Inc., Portland, OR (booknews.com) 続きを見る |
電子版へのリンク | https://hdl.handle.net/2324/6991987 |
所蔵情報
状態 | 巻次 | 所蔵場所 | 請求記号 | 刷年 | 文庫名称 | 資料番号 | コメント | 予約・取寄 | 複写申込 | 自動書庫 |
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理系図1F 開架 | 413.6/G 87 | 2002 |
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003212003002634 |
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理系図3F 数理独自 | GROM/5/1 | 2002 |
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023212002006306 |
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書誌詳細
一般注記 | Includes bibliographical reference (p. [283]-299) and index |
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著者標目 | *Gromak, Valerii I. Laine, Ilpo 下村, 俊 <シモムラ, シュン> |
件 名 | LCSH:Painlevé equations LCSH:Functions of complex variables |
分 類 | LCC:QA372 DC21:515/.352 |
書誌ID | 1000927004 |
ISBN | 3110173794 |
NCID | BA59458863 |
巻冊次 | ISBN:3110173794 |
登録日 | 2009.09.16 |
更新日 | 2009.11.02 |