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

✍ Scribed by Werner Balser (auth.)

Book ID
127398379
Publisher
Springer
Year
1994
Tongue
English
Weight
654 KB
Edition
1
Category
Library
City
Berlin; New York
ISBN
3540485945

No coin nor oath required. For personal study only.

✦ Synopsis

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.

✦ Subjects

Mathematical and Computational Physics

πŸ“œ SIMILAR VOLUMES

From Divergent Power Series to Analytic
From Divergent Power Series to Analytic Functions: Theory and Application of Multisummable Power Series
✍ Werner Balser (auth.) πŸ“‚ Library πŸ“… 1994 πŸ› Springer 🌐 English βš– 672 KB

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 t