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.

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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
DOI: https://doi.org/10.1007/BFb0073564
Publisher: Springer Berlin, Heidelberg
eBook Packages: Springer Book Archive
Copyright Information: Springer-Verlag Berlin Heidelberg 1994
Softcover ISBN: 978-3-540-58268-7Published: 29 August 1994
eBook ISBN: 978-3-540-48594-0Published: 15 November 2006
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: X, 114
Topics: Functions of a Complex Variable, Analysis, Theoretical, Mathematical and Computational Physics

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Table of contents (8 chapters)

Front Matter

Back Matter

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