From divergent power series to analytic functions
theory and application of multisummable power series
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Word Count
26,500 words, Guess
Page Count
106 pages
Identifiers
- Open LibraryOL1103238M
- ISBN-103540582681
- OCLC Control Number30734838
- OCLC Control Numberfromdivergentpow00bals
- Library of Congress Control Number94028232
and 1 more
- Goodreads4736897
Classifications
- DDC510 s
- LCCQA3 .L28 no. 1582
Description
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.
Subjects
Series Statement
- Lecture notes in mathematics ;
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