From divergent power series to analytic functions : theory and application of multisummable power series /

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Bibliographic Details
Author / Creator:Balser, Werner, 1946-
Imprint:Berlin ; New York : Springer-Verlag, ©1994.
Description:1 online resource (x, 106 pages) : illustrations.
Language:English
Series:Lecture notes in mathematics, 0075-8434 ; 1582
Lecture notes in mathematics (Springer-Verlag) ; 1582.
Subject:
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/11070525
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ISBN:9783540485940
3540485945
3540582681
9783540582687
0387582681
9780387582689
Notes:Includes bibliographical references (pages 103-106) and index.
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Print version record.
Summary: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.
Other form:Print version: Balser, Werner, 1946- From divergent power series to analytic functions. Berlin ; New York : Springer-Verlag, ©1994 3540582681