ENGLISH

From Divergent Power Series to Analytic Functions: Theory and Application of Multisummable Power Series

By Werner Balser (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
1994
ISBN
9780387582689, 0387582681, 3540582681
DOI
10.1007/BFb0073564
LCC
QA3 .L28 no. 1582,QA295 .L28 no. 1582
Open Library ID
OL1103238M
Language
english
Format
DJVU
Filesize
654 kB (669518 bytes)
Series
Lecture Notes in Mathematics 1582
Edition
1
Pages
114\116
Library
mexmat
Time added
2009-07-20 03:45:11
Analysis; Mathematical and Computational Physics

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.

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