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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Detaylı Bibliyografya
Yazar: Balser, Werner
Materyal Türü: Livre numérique
Dil:Anglais
Baskı/Yayın Bilgisi: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Seri Bilgileri:Lecture notes in mathematics 1582
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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
Diğer Bilgiler
Özet: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.
Diğer Bilgileri:Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
ISBN:9783540485940 (PDF)
ISSN:1617-9692
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