From Divergent Power Series to Analytic Functions

From Divergent Power Series to Analytic Functions
Author :
Publisher : Springer
Total Pages : 117
Release :
ISBN-10 : 9783540485940
ISBN-13 : 3540485945
Rating : 4/5 (945 Downloads)

Book Synopsis From Divergent Power Series to Analytic Functions by : Werner Balser

Download or read book From Divergent Power Series to Analytic Functions written by Werner Balser and published by Springer. This book was released on 2006-11-15 with total page 117 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

From Divergent Power Series to Analytic Functions Related Books