書誌事項

Algebraic analysis of singular perturbation theory

Takahiro Kawai, Yoshitsugu Takei ; translated by Goro Kato

(Translations of mathematical monographs, v. 227)(Iwanami series in modern mathematics)

American Mathematical Society, c2005

タイトル別名

Tokui setsudō no daisū kaisekigaku

特異摂動の代数解析学

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注記

特異摂動の代数解析学 / 河合隆裕, 竹井義次著(岩波書店, 1998.9) の翻訳

Includes bibliographical references (p. 125-128) and index

内容説明・目次

内容説明

The topic of this book is the study of singular perturbations of ordinary differential equations, i.e., perturbations that represent solutions as asymptotic series rather than as analytic functions in a perturbation parameter. The main method used is the so-called WKB (Wentzel-Kramers-Brillouin) method, originally invented for the study of quantum-mechanical systems. The authors describe in detail the WKB method and its applications to the study of monodromy problems for Fuchsian differential equations and to the analysis of Painleve functions. The volume is suitable for graduate students and researchers interested in differential equations and special functions.

目次

Borel resummation WKB analysis of Schrodinger equations Applications of WKB analysis to global problems WKB analysis of the Painleve function Future directions and projects Appendix Bibliography Index.

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