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

by Werner Balser

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...

• Format: Paperback
• Language: English
• ISBN: 3540582681
• ISBN13: 9783540582687
• Release Date: August 1994
• Publisher: Springer
• Length: 114 Pages
• Weight: 0.45 lbs.
• Dimensions: 0.3" x 6.1" x 9.2"