From Divergent Power Series to Analytic Functions : Theory and Application of Multisummable Power Series
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 t...
Enregistré dans:
| Hovedforfatter: | |
|---|---|
| Format: | Livre numérique |
| Sprog: | Anglais |
| Udgivet: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Serier: | Lecture notes in mathematics
1582 |
| Fag: | |
| Online adgang: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Kommentar: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • From divergent power series to analytic functions, theory and application of multisummable power series, Werner Balser, 1994, Berlin, Springer-Verlag, 1 volume (x-106 pages), Lecture notes in mathematics, 3-540-58268-1 • From Divergent Power Series to Analytic Functions, Texte imprimé, 9783662187739 |
Indholdsfortegnelse:
- Asymptotic power series
- Laplace and borel transforms
- Summable power series
- Cauchy-Heine transform
- Acceleration operators
- Multisummable power series
- Some equivalent definitions of multisummability
- Formal solutions to non-linear ODE.