From Divergent Power Series to Analytic Functions
Theory and Application of Multisummable Power Series
Authors: Balser, Werner
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- About this book
-
Multisummability is a method which, for certain formal power series with radius of convergence equal to zero, produces an analytic function having the formal series as its asymptotic expansion. This book presents the theory of multisummabi- lity, and as an application, contains a proof of the fact that all formal power series solutions of non-linear meromorphic ODE are multisummable. It will be of use to graduate students and researchers in mathematics and theoretical physics, and especially to those who encounter formal power series to (physical) equations with rapidly, but regularly, growing coefficients.
- Table of contents (8 chapters)
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Asymptotic power series
Pages 1-12
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Laplace and borel transforms
Pages 13-22
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Summable power series
Pages 23-32
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Cauchy-Heine transform
Pages 33-40
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Acceleration operators
Pages 41-52
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Table of contents (8 chapters)
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Bibliographic Information
- Bibliographic Information
-
- Book Title
- From Divergent Power Series to Analytic Functions
- Book Subtitle
- Theory and Application of Multisummable Power Series
- Authors
-
- Werner Balser
- Series Title
- Lecture Notes in Mathematics
- Series Volume
- 1582
- Copyright
- 1994
- Publisher
- Springer-Verlag Berlin Heidelberg
- Copyright Holder
- Springer-Verlag Berlin Heidelberg
- eBook ISBN
- 978-3-540-48594-0
- DOI
- 10.1007/BFb0073564
- Softcover ISBN
- 978-3-540-58268-7
- Series ISSN
- 0075-8434
- Edition Number
- 1
- Number of Pages
- X, 114
- Topics
