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From Divergent Power Series to Analytic Functions: Theory and Application of Multisummable Power Series (Lecture Notes in Mathematics) - Softcover

 
9780387582689: From Divergent Power Series to Analytic Functions: Theory and Application of Multisummable Power Series (Lecture Notes in Mathematics)

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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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  • ISBN 10 0387582681
  • ISBN 13 9780387582689
  • BindingPaperback
  • LanguageEnglish

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Other Popular Editions of the Same Title

9783540582687: From Divergent Power Series to Analytic Functions: Theory and Application of Multisummable Power Series: 1582 (Lecture Notes in Mathematics, 1582)

Featured Edition

ISBN 10:  3540582681 ISBN 13:  9783540582687
Publisher: Springer, 1994
Softcover