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

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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.

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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.

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Hardcover, Softcover

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Book information

Edition
1st Edition
ISBN [Softcover]
9783540582687
Publisher
Springer
Year
1994
Pages
X, 114 p.
Series Title
Lecture Notes in Mathematics
Language
English
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