<電子ブック>
Divergent Series, Summability and Resurgence III : Resurgent Methods and the First Painlevé Equation / by Eric Delabaere
(Lecture Notes in Mathematics. ISSN:16179692 ; 2155)
版 | 1st ed. 2016. |
---|---|
出版者 | Cham : Springer International Publishing : Imprint: Springer |
出版年 | 2016 |
大きさ | XXII, 230 p. 35 illus., 14 illus. in color : online resource |
著者標目 | *Delabaere, Eric author SpringerLink (Online service) |
件 名 | LCSH:Sequences (Mathematics) LCSH:Differential equations LCSH:Functions of complex variables LCSH:Special functions FREE:Sequences, Series, Summability FREE:Differential Equations FREE:Functions of a Complex Variable FREE:Special Functions |
一般注記 | Avant-Propos -- Preface to the three volumes -- Preface to this volume -- Some elements about ordinary differential equations -- The first Painlevé equation -- Tritruncated solutions for the first Painlevé equation -- A step beyond Borel-Laplace summability -- Transseries and formal integral for the first Painlevé equation -- Truncated solutions for the first Painlevé equation -- Supplements to resurgence theory -- Resurgent structure for the first Painlevé equation -- Index The aim of this volume is two-fold. First, to show how the resurgent methods introduced in volume 1 can be applied efficiently in a non-linear setting; to this end further properties of the resurgence theory must be developed. Second, to analyze the fundamental example of the First Painlevé equation. The resurgent analysis of singularities is pushed all the way up to the so-called “bridge equation”, which concentrates all information about the non-linear Stokes phenomenon at infinity of the First Painlevé equation. The third in a series of three, entitled Divergent Series, Summability and Resurgence, this volume is aimed at graduate students, mathematicians and theoretical physicists who are interested in divergent power series and related problems, such as the Stokes phenomenon. The prerequisites are a working knowledge of complex analysis at the first-year graduate level and of the theory of resurgence, as presented in volume 1. HTTP:URL=https://doi.org/10.1007/978-3-319-29000-3 |
目次/あらすじ
所蔵情報を非表示
電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
---|---|---|---|---|---|---|---|---|---|---|---|---|
電子ブック | オンライン | 電子ブック |
|
|
Springer eBooks | 9783319290003 |
|
電子リソース |
|
EB00211097 |
類似資料
この資料の利用統計
このページへのアクセス回数:2回
※2017年9月4日以降