From Divergent Power Series to Analytic Functions : Theory and Application of Multisummable Power Series. Este artículo no está disponible.
Idioma: inglés
Editorial: Springer, 1994
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N° de ref. del artículo 5703265-n
- Título
- From Divergent Power Series to Analytic Functions : Theory and Application of Multisummable Power Series
- Autor
- Balser, Werner
- Editorial
- Springer
- Año de publicación
- 1994
- Estado
- New
- Encuadernación
- Encuadernación de tapa blanda
- Idioma
- inglés
- ISBN 10
- 3540582681
- ISBN 13
- 9783540582687
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.
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