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Divergent Series, Summability and Resurgence III = Resurgent Methods and the First Painlevé Equation /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Divergent Series, Summability and Resurgence III/ by Eric Delabaere.
Reminder of title:	Resurgent Methods and the First Painlevé Equation /
Author:	Delabaere, Eric.
Description:	XXII, 230 p. 35 illus., 14 illus. in color.online resource. :
Contained By:	Springer Nature eBook
Subject:	Sequences (Mathematics). -
Online resource:	https://doi.org/10.1007/978-3-319-29000-3
ISBN:	9783319290003

Divergent Series, Summability and Resurgence III = Resurgent Methods and the First Painlevé Equation /
Delabaere, Eric.

Divergent Series, Summability and Resurgence IIIResurgent Methods and the First Painlevé Equation /[electronic resource] :by Eric Delabaere. - 1st ed. 2016. - XXII, 230 p. 35 illus., 14 illus. in color.online resource. - Lecture Notes in Mathematics,21550075-8434 ;. - Lecture Notes in Mathematics,2144.

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. .

ISBN: 9783319290003

Standard No.: 10.1007/978-3-319-29000-3doiSubjects--Topical Terms:

1253882
Sequences (Mathematics).

LC Class. No.: QA292

Dewey Class. No.: 515.24

Divergent Series, Summability and Resurgence III = Resurgent Methods and the First Painlevé Equation /
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