Divergent series, summability and resurgence III : resurgent methods and the first Painleve equation / Eric Delabaere.
Material type:
TextSeries: Lecture notes in mathematics ; 2155.Publication details: Switzerland : Springer, 2016.Description: xxii, 230 pages : illustrations ; 24 cmISBN: - 9783319289991
- 515.243 23 D331
| Item type | Current library | Call number | Status | Date due | Barcode | Item holds | |
|---|---|---|---|---|---|---|---|
| Books | ISI Library, Kolkata | 515.243 D331 (Browse shelf(Opens below)) | Available | 137700 |
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| 515.243 C993 Handbook of continued fractions for special functions | 515.243 D262 Summation of series | 515.243 D278 Decoupling | 515.243 D331 Divergent series, summability and resurgence III : | 515.243 D584 Asymptotic expansions : their derivation and interpretation | 515.243 Er66 Asymptotic expansions | 515.243 Eu88 Introduction to analysis of the infinite / |
Includes bibliographical references and index.
1. Some Elements about Ordinary Differential Equations Delabaere --
2. The First Painleve Equation Delabaere --
3. Tritruncated Solutions For The First Painleve Equation --
4. A Step Beyond Borel-Laplace Summability --
5. Transseries And Formal Integral For The First Painleve Equation --
6. Truncated Solutions For The First Painleve Equation --
7. Supplements To Resurgence Theory --
8. Resurgent Structure For The First Painleve Equation.
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.
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