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From Divergent Power Series to Analytic Functions by Werner Balser
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From Divergent Power Series to Analytic Functions

Theory and Application of Multisummable Power Series
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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 multisummability, 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.
Release date Australia
August 29th, 1994
Author
Audiences
  • Postgraduate, Research & Scholarly
  • Professional & Vocational
Illustrations
X, 114 p.
Pages
114
Dimensions
156x234x6
ISBN-13
9783540582687
Product ID
3816673

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