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

Balser, Werner

 
9783540582687: From Divergent Power Series to Analytic Functions: Theory and Application of Multisummable Power Series: 1582 (Lecture Notes in Mathematics)
Softcover
ISBN 10: 3540582681 ISBN 13: 9783540582687
Verlag: Springer, 2009

Inhaltsangabe

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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Reseña del editor

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.

„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.

Verlag
Springer
Erscheinungsdatum
2009
Sprache
Englisch
ISBN 10 
3540582681
ISBN 13 
9783540582687
Einband
Tapa blanda
Anzahl der Seiten
124
Kontakt zum Hersteller
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Weitere beliebte Ausgaben desselben Titels

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

Vorgestellte Ausgabe

ISBN 10:  0387582681 ISBN 13:  9780387582689
Softcover