Title: From Divergent Power Series to Analytic Functions: Theory and Application of Multisummable Power Series (Lecture Notes in Mathematics, 1582)
Publisher: Springer
Publication Date: 1994
Language: English
ISBN 10: 3540582681
ISBN 13: 9783540582687
Binding: Soft cover
Condition: New

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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.

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