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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
From Divergent Power Series to Analytic Functions: Theory and Application of Multisummable Power Series

From Divergent Power Series to Analytic Functions: Theory and Application of Multisummable Power Series

Balser, Werner

Paperback

Series: Lecture Notes in Mathematics, Book 1582

General MathematicsPhysics

ISBN10: 3540582681
ISBN13: 9783540582687
Publisher: Springer Nature
Published: Aug 29 1994
Pages: 114
Weight: 0.41
Height: 0.26 Width: 6.14 Depth: 9.21
Language: English
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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