Overview
- Features a thorough resurgent analysis of
- the celebrated non-linear differential equation Painlevé I
- Includes new specialized results in the
- theory of resurgence
- For the first time, higher order Stokes phenomena of Painlevé I are made explicit by means of the so-called bridge equation
Part of the book series: Lecture Notes in Mathematics (LNM, volume 2155)
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Table of contents (8 chapters)
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Front Matter
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Back Matter
Keywords
About this book
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.
Authors and Affiliations
Bibliographic Information
Book Title: Divergent Series, Summability and Resurgence III
Book Subtitle: Resurgent Methods and the First Painlevé Equation
Authors: Eric Delabaere
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/978-3-319-29000-3
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2016
Softcover ISBN: 978-3-319-28999-1Published: 29 June 2016
eBook ISBN: 978-3-319-29000-3Published: 28 June 2016
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: XXII, 230
Number of Illustrations: 21 b/w illustrations, 14 illustrations in colour
Topics: Sequences, Series, Summability, Ordinary Differential Equations, Functions of a Complex Variable, Special Functions