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...
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| Autor principal: | |
|---|---|
| Format: | Livre numérique |
| Idioma: | Anglais |
| Publicat: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Col·lecció: | Lecture notes in mathematics
1582 |
| Matèries: | |
| Accés en línia: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
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 |
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| 041 | 0 | |a eng | |
| 082 | |a 510 | ||
| 082 | |a 515 | ||
| 100 | 1 | |a Balser, Werner. | |
| 245 | 1 | 0 | |a From Divergent Power Series to Analytic Functions : |b Theory and Application of Multisummable Power Series |c Werner Balser. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in mathematics |v 1582 |x 1617-9692 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a 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. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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. | ||
| 650 | |a Sommabilité | ||
| 650 | |a Analyse mathématique | ||
| 650 | |a Fonctions analytiques | ||
| 650 | |a Physique mathématique | ||
| 650 | |a Séries de puissances | ||
| 776 | 0 | |0 003631192 |t From divergent power series to analytic functions |o theory and application of multisummable power series |f Werner Balser |d 1994 |c Berlin |n Springer-Verlag |p 1 volume (x-106 pages) |s Lecture notes in mathematics |z 3-540-58268-1 | |
| 776 | 0 | |t From Divergent Power Series to Analytic Functions |b Texte imprimé |z 9783662187739 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/BFb0073564 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-9GDCRWDJ-0 |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:750667176 |u https://ezproxy.univ-orleans.fr/login?url=https://doi.org/10.1007/BFb0073564 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:754016307 |u https://ezproxy.insa-cvl.fr/login?qurl=https://doi.org/10.1007/BFb0073564 |z Accès INSA CVL | |
| 997 | |0 970066 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||